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Finding the Third Proportional to 178,447.88 and 386,298.75

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Solution

The third proportional to 178,447.88 and 386,298.75 is: 836,248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,447.88 : 386,298.75 = 386,298.75 : x
  2. Step 2: Convert to fraction form
    178,447.88/386,298.75 = 386,298.75/x
  3. Step 3: Cross multiply
    178,447.88x = 386,298.75 × 386,298.75
  4. Step 4: Simplify right side
    178,447.88x = 149,226,724,251.56
  5. Step 5: Solve for x
    x = 149,226,724,251.56/178,447.88
  6. Step 6: Final answer
    x = 836,248.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.