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Finding the Third Proportional to 178,246 and 266,468

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Solution

The third proportional to 178,246 and 266,468 is: 398,355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,246 : 266,468 = 266,468 : x
  2. Step 2: Convert to fraction form
    178,246/266,468 = 266,468/x
  3. Step 3: Cross multiply
    178,246x = 266,468 × 266,468
  4. Step 4: Simplify right side
    178,246x = 71,005,195,024
  5. Step 5: Solve for x
    x = 71,005,195,024/178,246
  6. Step 6: Final answer
    x = 398,355.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.