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Finding the Third Proportional to 176,324.50 and 386,452

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Solution

The third proportional to 176,324.50 and 386,452 is: 846,990.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,324.50 : 386,452 = 386,452 : x
  2. Step 2: Convert to fraction form
    176,324.50/386,452 = 386,452/x
  3. Step 3: Cross multiply
    176,324.50x = 386,452 × 386,452
  4. Step 4: Simplify right side
    176,324.50x = 149,345,148,304
  5. Step 5: Solve for x
    x = 149,345,148,304/176,324.50
  6. Step 6: Final answer
    x = 846,990.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.