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Finding the Third Proportional to 183,669.19 and 278,272.13

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Solution

The third proportional to 183,669.19 and 278,272.13 is: 421,602.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,669.19 : 278,272.13 = 278,272.13 : x
  2. Step 2: Convert to fraction form
    183,669.19/278,272.13 = 278,272.13/x
  3. Step 3: Cross multiply
    183,669.19x = 278,272.13 × 278,272.13
  4. Step 4: Simplify right side
    183,669.19x = 77,435,375,552.02
  5. Step 5: Solve for x
    x = 77,435,375,552.02/183,669.19
  6. Step 6: Final answer
    x = 421,602.43

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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.