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Finding the Third Proportional to 178,776 and 260,730

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Solution

The third proportional to 178,776 and 260,730 is: 380,253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,776 : 260,730 = 260,730 : x
  2. Step 2: Convert to fraction form
    178,776/260,730 = 260,730/x
  3. Step 3: Cross multiply
    178,776x = 260,730 × 260,730
  4. Step 4: Simplify right side
    178,776x = 67,980,132,900
  5. Step 5: Solve for x
    x = 67,980,132,900/178,776
  6. Step 6: Final answer
    x = 380,253.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.