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Finding the Third Proportional to 183,691.13 and 278,304.63

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Solution

The third proportional to 183,691.13 and 278,304.63 is: 421,650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,691.13 : 278,304.63 = 278,304.63 : x
  2. Step 2: Convert to fraction form
    183,691.13/278,304.63 = 278,304.63/x
  3. Step 3: Cross multiply
    183,691.13x = 278,304.63 × 278,304.63
  4. Step 4: Simplify right side
    183,691.13x = 77,453,464,296.39
  5. Step 5: Solve for x
    x = 77,453,464,296.39/183,691.13
  6. Step 6: Final answer
    x = 421,650.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.