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Finding the Third Proportional to 157,764 and 337,944

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Solution

The third proportional to 157,764 and 337,944 is: 723,904.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,764 : 337,944 = 337,944 : x
  2. Step 2: Convert to fraction form
    157,764/337,944 = 337,944/x
  3. Step 3: Cross multiply
    157,764x = 337,944 × 337,944
  4. Step 4: Simplify right side
    157,764x = 114,206,147,136
  5. Step 5: Solve for x
    x = 114,206,147,136/157,764
  6. Step 6: Final answer
    x = 723,904.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.