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Finding the Third Proportional to 152,127.49 and 220,340.25

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Solution

The third proportional to 152,127.49 and 220,340.25 is: 319,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,127.49 : 220,340.25 = 220,340.25 : x
  2. Step 2: Convert to fraction form
    152,127.49/220,340.25 = 220,340.25/x
  3. Step 3: Cross multiply
    152,127.49x = 220,340.25 × 220,340.25
  4. Step 4: Simplify right side
    152,127.49x = 48,549,825,770.06
  5. Step 5: Solve for x
    x = 48,549,825,770.06/152,127.49
  6. Step 6: Final answer
    x = 319,139.07

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.