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Finding the Third Proportional to 238,642.88 and 514,627.88

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Solution

The third proportional to 238,642.88 and 514,627.88 is: 1,109,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,642.88 : 514,627.88 = 514,627.88 : x
  2. Step 2: Convert to fraction form
    238,642.88/514,627.88 = 514,627.88/x
  3. Step 3: Cross multiply
    238,642.88x = 514,627.88 × 514,627.88
  4. Step 4: Simplify right side
    238,642.88x = 264,841,849,727.02
  5. Step 5: Solve for x
    x = 264,841,849,727.02/238,642.88
  6. Step 6: Final answer
    x = 1,109,783.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.