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Finding the Third Proportional to 176,506 and 280,496

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Solution

The third proportional to 176,506 and 280,496 is: 445,752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,506 : 280,496 = 280,496 : x
  2. Step 2: Convert to fraction form
    176,506/280,496 = 280,496/x
  3. Step 3: Cross multiply
    176,506x = 280,496 × 280,496
  4. Step 4: Simplify right side
    176,506x = 78,678,006,016
  5. Step 5: Solve for x
    x = 78,678,006,016/176,506
  6. Step 6: Final answer
    x = 445,752.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.