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Finding the Third Proportional to 172,038 and 252,978

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Solution

The third proportional to 172,038 and 252,978 is: 371,998.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,038 : 252,978 = 252,978 : x
  2. Step 2: Convert to fraction form
    172,038/252,978 = 252,978/x
  3. Step 3: Cross multiply
    172,038x = 252,978 × 252,978
  4. Step 4: Simplify right side
    172,038x = 63,997,868,484
  5. Step 5: Solve for x
    x = 63,997,868,484/172,038
  6. Step 6: Final answer
    x = 371,998.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.