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Finding the Third Proportional to 232,419.75 and 359,139.75

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Solution

The third proportional to 232,419.75 and 359,139.75 is: 554,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,419.75 : 359,139.75 = 359,139.75 : x
  2. Step 2: Convert to fraction form
    232,419.75/359,139.75 = 359,139.75/x
  3. Step 3: Cross multiply
    232,419.75x = 359,139.75 × 359,139.75
  4. Step 4: Simplify right side
    232,419.75x = 128,981,360,030.06
  5. Step 5: Solve for x
    x = 128,981,360,030.06/232,419.75
  6. Step 6: Final answer
    x = 554,950.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.