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Finding the Third Proportional to 132,321 and 312,309

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Solution

The third proportional to 132,321 and 312,309 is: 737,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,321 : 312,309 = 312,309 : x
  2. Step 2: Convert to fraction form
    132,321/312,309 = 312,309/x
  3. Step 3: Cross multiply
    132,321x = 312,309 × 312,309
  4. Step 4: Simplify right side
    132,321x = 97,536,911,481
  5. Step 5: Solve for x
    x = 97,536,911,481/132,321
  6. Step 6: Final answer
    x = 737,123.45

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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.