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Finding the Third Proportional to 231,014.75 and 345,582

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Solution

The third proportional to 231,014.75 and 345,582 is: 516,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,014.75 : 345,582 = 345,582 : x
  2. Step 2: Convert to fraction form
    231,014.75/345,582 = 345,582/x
  3. Step 3: Cross multiply
    231,014.75x = 345,582 × 345,582
  4. Step 4: Simplify right side
    231,014.75x = 119,426,918,724
  5. Step 5: Solve for x
    x = 119,426,918,724/231,014.75
  6. Step 6: Final answer
    x = 516,966.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.