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Finding the Third Proportional to 242,498.81 and 367,102.13

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Solution

The third proportional to 242,498.81 and 367,102.13 is: 555,730.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,498.81 : 367,102.13 = 367,102.13 : x
  2. Step 2: Convert to fraction form
    242,498.81/367,102.13 = 367,102.13/x
  3. Step 3: Cross multiply
    242,498.81x = 367,102.13 × 367,102.13
  4. Step 4: Simplify right side
    242,498.81x = 134,763,970,179.52
  5. Step 5: Solve for x
    x = 134,763,970,179.52/242,498.81
  6. Step 6: Final answer
    x = 555,730.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.