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Finding the Third Proportional to 173,113.88 and 260,809.88

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Solution

The third proportional to 173,113.88 and 260,809.88 is: 392,930.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,113.88 : 260,809.88 = 260,809.88 : x
  2. Step 2: Convert to fraction form
    173,113.88/260,809.88 = 260,809.88/x
  3. Step 3: Cross multiply
    173,113.88x = 260,809.88 × 260,809.88
  4. Step 4: Simplify right side
    173,113.88x = 68,021,790,897.52
  5. Step 5: Solve for x
    x = 68,021,790,897.52/173,113.88
  6. Step 6: Final answer
    x = 392,930.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.