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Finding the Third Proportional to 142,104.38 and 303,901.88

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Solution

The third proportional to 142,104.38 and 303,901.88 is: 649,919.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,104.38 : 303,901.88 = 303,901.88 : x
  2. Step 2: Convert to fraction form
    142,104.38/303,901.88 = 303,901.88/x
  3. Step 3: Cross multiply
    142,104.38x = 303,901.88 × 303,901.88
  4. Step 4: Simplify right side
    142,104.38x = 92,356,349,628.52
  5. Step 5: Solve for x
    x = 92,356,349,628.52/142,104.38
  6. Step 6: Final answer
    x = 649,919.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.