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Finding the Third Proportional to 242,119.13 and 354,582.56

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Solution

The third proportional to 242,119.13 and 354,582.56 is: 519,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,119.13 : 354,582.56 = 354,582.56 : x
  2. Step 2: Convert to fraction form
    242,119.13/354,582.56 = 354,582.56/x
  3. Step 3: Cross multiply
    242,119.13x = 354,582.56 × 354,582.56
  4. Step 4: Simplify right side
    242,119.13x = 125,728,793,629.07
  5. Step 5: Solve for x
    x = 125,728,793,629.07/242,119.13
  6. Step 6: Final answer
    x = 519,284.85

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.