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Finding the Third Proportional to 247,585.50 and 386,176.50

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Solution

The third proportional to 247,585.50 and 386,176.50 is: 602,346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,585.50 : 386,176.50 = 386,176.50 : x
  2. Step 2: Convert to fraction form
    247,585.50/386,176.50 = 386,176.50/x
  3. Step 3: Cross multiply
    247,585.50x = 386,176.50 × 386,176.50
  4. Step 4: Simplify right side
    247,585.50x = 149,132,289,152.25
  5. Step 5: Solve for x
    x = 149,132,289,152.25/247,585.50
  6. Step 6: Final answer
    x = 602,346.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.