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Finding the Third Proportional to 173,730 and 259,076

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Solution

The third proportional to 173,730 and 259,076 is: 386,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,730 : 259,076 = 259,076 : x
  2. Step 2: Convert to fraction form
    173,730/259,076 = 259,076/x
  3. Step 3: Cross multiply
    173,730x = 259,076 × 259,076
  4. Step 4: Simplify right side
    173,730x = 67,120,373,776
  5. Step 5: Solve for x
    x = 67,120,373,776/173,730
  6. Step 6: Final answer
    x = 386,348.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.