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Finding the Third Proportional to 238,598.25 and 514,557.75

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Solution

The third proportional to 238,598.25 and 514,557.75 is: 1,109,688.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,598.25 : 514,557.75 = 514,557.75 : x
  2. Step 2: Convert to fraction form
    238,598.25/514,557.75 = 514,557.75/x
  3. Step 3: Cross multiply
    238,598.25x = 514,557.75 × 514,557.75
  4. Step 4: Simplify right side
    238,598.25x = 264,769,678,085.06
  5. Step 5: Solve for x
    x = 264,769,678,085.06/238,598.25
  6. Step 6: Final answer
    x = 1,109,688.27

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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.