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Finding the Third Proportional to 132,332 and 312,341

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Solution

The third proportional to 132,332 and 312,341 is: 737,213.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,332 : 312,341 = 312,341 : x
  2. Step 2: Convert to fraction form
    132,332/312,341 = 312,341/x
  3. Step 3: Cross multiply
    132,332x = 312,341 × 312,341
  4. Step 4: Simplify right side
    132,332x = 97,556,900,281
  5. Step 5: Solve for x
    x = 97,556,900,281/132,332
  6. Step 6: Final answer
    x = 737,213.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.