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Finding the Third Proportional to 171,783 and 252,537

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Solution

The third proportional to 171,783 and 252,537 is: 371,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,783 : 252,537 = 252,537 : x
  2. Step 2: Convert to fraction form
    171,783/252,537 = 252,537/x
  3. Step 3: Cross multiply
    171,783x = 252,537 × 252,537
  4. Step 4: Simplify right side
    171,783x = 63,774,936,369
  5. Step 5: Solve for x
    x = 63,774,936,369/171,783
  6. Step 6: Final answer
    x = 371,252.90

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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.