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Finding the Third Proportional to 157,566 and 226,506

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Solution

The third proportional to 157,566 and 226,506 is: 325,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,566 : 226,506 = 226,506 : x
  2. Step 2: Convert to fraction form
    157,566/226,506 = 226,506/x
  3. Step 3: Cross multiply
    157,566x = 226,506 × 226,506
  4. Step 4: Simplify right side
    157,566x = 51,304,968,036
  5. Step 5: Solve for x
    x = 51,304,968,036/157,566
  6. Step 6: Final answer
    x = 325,609.38

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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.