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Finding the Third Proportional to 229,381.88 and 354,304.13

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Solution

The third proportional to 229,381.88 and 354,304.13 is: 547,259.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,381.88 : 354,304.13 = 354,304.13 : x
  2. Step 2: Convert to fraction form
    229,381.88/354,304.13 = 354,304.13/x
  3. Step 3: Cross multiply
    229,381.88x = 354,304.13 × 354,304.13
  4. Step 4: Simplify right side
    229,381.88x = 125,531,412,992.02
  5. Step 5: Solve for x
    x = 125,531,412,992.02/229,381.88
  6. Step 6: Final answer
    x = 547,259.51

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.