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Finding the Third Proportional to 115,030.13 and 239,446.13

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Solution

The third proportional to 115,030.13 and 239,446.13 is: 498,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,030.13 : 239,446.13 = 239,446.13 : x
  2. Step 2: Convert to fraction form
    115,030.13/239,446.13 = 239,446.13/x
  3. Step 3: Cross multiply
    115,030.13x = 239,446.13 × 239,446.13
  4. Step 4: Simplify right side
    115,030.13x = 57,334,446,777.52
  5. Step 5: Solve for x
    x = 57,334,446,777.52/115,030.13
  6. Step 6: Final answer
    x = 498,429.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.