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Finding the Third Proportional to 252,225.56 and 368,638.59

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Solution

The third proportional to 252,225.56 and 368,638.59 is: 538,781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,225.56 : 368,638.59 = 368,638.59 : x
  2. Step 2: Convert to fraction form
    252,225.56/368,638.59 = 368,638.59/x
  3. Step 3: Cross multiply
    252,225.56x = 368,638.59 × 368,638.59
  4. Step 4: Simplify right side
    252,225.56x = 135,894,412,801.98
  5. Step 5: Solve for x
    x = 135,894,412,801.98/252,225.56
  6. Step 6: Final answer
    x = 538,781.29

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.