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Finding the Third Proportional to 172,804.50 and 359,397

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Solution

The third proportional to 172,804.50 and 359,397 is: 747,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,804.50 : 359,397 = 359,397 : x
  2. Step 2: Convert to fraction form
    172,804.50/359,397 = 359,397/x
  3. Step 3: Cross multiply
    172,804.50x = 359,397 × 359,397
  4. Step 4: Simplify right side
    172,804.50x = 129,166,203,609
  5. Step 5: Solve for x
    x = 129,166,203,609/172,804.50
  6. Step 6: Final answer
    x = 747,470.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.