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Finding the Third Proportional to 171,714.38 and 252,426.38

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Solution

The third proportional to 171,714.38 and 252,426.38 is: 371,075.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,714.38 : 252,426.38 = 252,426.38 : x
  2. Step 2: Convert to fraction form
    171,714.38/252,426.38 = 252,426.38/x
  3. Step 3: Cross multiply
    171,714.38x = 252,426.38 × 252,426.38
  4. Step 4: Simplify right side
    171,714.38x = 63,719,074,795.64
  5. Step 5: Solve for x
    x = 63,719,074,795.64/171,714.38
  6. Step 6: Final answer
    x = 371,075.95

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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.