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Finding the Third Proportional to 142,664.63 and 337,386.38

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Solution

The third proportional to 142,664.63 and 337,386.38 is: 797,882.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,664.63 : 337,386.38 = 337,386.38 : x
  2. Step 2: Convert to fraction form
    142,664.63/337,386.38 = 337,386.38/x
  3. Step 3: Cross multiply
    142,664.63x = 337,386.38 × 337,386.38
  4. Step 4: Simplify right side
    142,664.63x = 113,829,566,035.64
  5. Step 5: Solve for x
    x = 113,829,566,035.64/142,664.63
  6. Step 6: Final answer
    x = 797,882.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.