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Finding the Third Proportional to 181,523 and 253,897

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Solution

The third proportional to 181,523 and 253,897 is: 355,126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,523 : 253,897 = 253,897 : x
  2. Step 2: Convert to fraction form
    181,523/253,897 = 253,897/x
  3. Step 3: Cross multiply
    181,523x = 253,897 × 253,897
  4. Step 4: Simplify right side
    181,523x = 64,463,686,609
  5. Step 5: Solve for x
    x = 64,463,686,609/181,523
  6. Step 6: Final answer
    x = 355,126.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.