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Finding the Third Proportional to 157,566 and 226,507

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Solution

The third proportional to 157,566 and 226,507 is: 325,612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,566 : 226,507 = 226,507 : x
  2. Step 2: Convert to fraction form
    157,566/226,507 = 226,507/x
  3. Step 3: Cross multiply
    157,566x = 226,507 × 226,507
  4. Step 4: Simplify right side
    157,566x = 51,305,421,049
  5. Step 5: Solve for x
    x = 51,305,421,049/157,566
  6. Step 6: Final answer
    x = 325,612.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.