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Finding the Third Proportional to 132,329 and 312,334

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Solution

The third proportional to 132,329 and 312,334 is: 737,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,329 : 312,334 = 312,334 : x
  2. Step 2: Convert to fraction form
    132,329/312,334 = 312,334/x
  3. Step 3: Cross multiply
    132,329x = 312,334 × 312,334
  4. Step 4: Simplify right side
    132,329x = 97,552,527,556
  5. Step 5: Solve for x
    x = 97,552,527,556/132,329
  6. Step 6: Final answer
    x = 737,196.89

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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.