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Finding the Third Proportional to 157,564 and 226,504

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Solution

The third proportional to 157,564 and 226,504 is: 325,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,564 : 226,504 = 226,504 : x
  2. Step 2: Convert to fraction form
    157,564/226,504 = 226,504/x
  3. Step 3: Cross multiply
    157,564x = 226,504 × 226,504
  4. Step 4: Simplify right side
    157,564x = 51,304,062,016
  5. Step 5: Solve for x
    x = 51,304,062,016/157,564
  6. Step 6: Final answer
    x = 325,607.77

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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.