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Finding the Third Proportional to 161,906.34 and 243,645.47

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Solution

The third proportional to 161,906.34 and 243,645.47 is: 366,650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,906.34 : 243,645.47 = 243,645.47 : x
  2. Step 2: Convert to fraction form
    161,906.34/243,645.47 = 243,645.47/x
  3. Step 3: Cross multiply
    161,906.34x = 243,645.47 × 243,645.47
  4. Step 4: Simplify right side
    161,906.34x = 59,363,114,442.41
  5. Step 5: Solve for x
    x = 59,363,114,442.41/161,906.34
  6. Step 6: Final answer
    x = 366,650.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.