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Finding the Third Proportional to 132,500 and 312,579

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Solution

The third proportional to 132,500 and 312,579 is: 737,400.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,500 : 312,579 = 312,579 : x
  2. Step 2: Convert to fraction form
    132,500/312,579 = 312,579/x
  3. Step 3: Cross multiply
    132,500x = 312,579 × 312,579
  4. Step 4: Simplify right side
    132,500x = 97,705,631,241
  5. Step 5: Solve for x
    x = 97,705,631,241/132,500
  6. Step 6: Final answer
    x = 737,400.99

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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.