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Finding the Third Proportional to 175,472 and 282,585

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Solution

The third proportional to 175,472 and 282,585 is: 455,082.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,472 : 282,585 = 282,585 : x
  2. Step 2: Convert to fraction form
    175,472/282,585 = 282,585/x
  3. Step 3: Cross multiply
    175,472x = 282,585 × 282,585
  4. Step 4: Simplify right side
    175,472x = 79,854,282,225
  5. Step 5: Solve for x
    x = 79,854,282,225/175,472
  6. Step 6: Final answer
    x = 455,082.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.