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Finding the Third Proportional to 151,555.50 and 252,582

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Solution

The third proportional to 151,555.50 and 252,582 is: 420,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,555.50 : 252,582 = 252,582 : x
  2. Step 2: Convert to fraction form
    151,555.50/252,582 = 252,582/x
  3. Step 3: Cross multiply
    151,555.50x = 252,582 × 252,582
  4. Step 4: Simplify right side
    151,555.50x = 63,797,666,724
  5. Step 5: Solve for x
    x = 63,797,666,724/151,555.50
  6. Step 6: Final answer
    x = 420,952.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.