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Finding the Third Proportional to 120,359.04 and 186,270.89

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Solution

The third proportional to 120,359.04 and 186,270.89 is: 288,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,359.04 : 186,270.89 = 186,270.89 : x
  2. Step 2: Convert to fraction form
    120,359.04/186,270.89 = 186,270.89/x
  3. Step 3: Cross multiply
    120,359.04x = 186,270.89 × 186,270.89
  4. Step 4: Simplify right side
    120,359.04x = 34,696,844,694.23
  5. Step 5: Solve for x
    x = 34,696,844,694.23/120,359.04
  6. Step 6: Final answer
    x = 288,277.85

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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.