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Finding the Third Proportional to 129,352 and 193,232

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Solution

The third proportional to 129,352 and 193,232 is: 288,658.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,352 : 193,232 = 193,232 : x
  2. Step 2: Convert to fraction form
    129,352/193,232 = 193,232/x
  3. Step 3: Cross multiply
    129,352x = 193,232 × 193,232
  4. Step 4: Simplify right side
    129,352x = 37,338,605,824
  5. Step 5: Solve for x
    x = 37,338,605,824/129,352
  6. Step 6: Final answer
    x = 288,658.90

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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.