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Finding the Third Proportional to 176,552 and 273,548

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Solution

The third proportional to 176,552 and 273,548 is: 423,832.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,552 : 273,548 = 273,548 : x
  2. Step 2: Convert to fraction form
    176,552/273,548 = 273,548/x
  3. Step 3: Cross multiply
    176,552x = 273,548 × 273,548
  4. Step 4: Simplify right side
    176,552x = 74,828,508,304
  5. Step 5: Solve for x
    x = 74,828,508,304/176,552
  6. Step 6: Final answer
    x = 423,832.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.