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Finding the Third Proportional to 237,025.13 and 440,425.13

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Solution

The third proportional to 237,025.13 and 440,425.13 is: 818,370.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,025.13 : 440,425.13 = 440,425.13 : x
  2. Step 2: Convert to fraction form
    237,025.13/440,425.13 = 440,425.13/x
  3. Step 3: Cross multiply
    237,025.13x = 440,425.13 × 440,425.13
  4. Step 4: Simplify right side
    237,025.13x = 193,974,290,731.27
  5. Step 5: Solve for x
    x = 193,974,290,731.27/237,025.13
  6. Step 6: Final answer
    x = 818,370.17

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.