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Finding the Third Proportional to 242,561 and 510,255

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Solution

The third proportional to 242,561 and 510,255 is: 1,073,380.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,561 : 510,255 = 510,255 : x
  2. Step 2: Convert to fraction form
    242,561/510,255 = 510,255/x
  3. Step 3: Cross multiply
    242,561x = 510,255 × 510,255
  4. Step 4: Simplify right side
    242,561x = 260,360,165,025
  5. Step 5: Solve for x
    x = 260,360,165,025/242,561
  6. Step 6: Final answer
    x = 1,073,380.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.