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Finding the Third Proportional to 133,020.56 and 288,646.88

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Solution

The third proportional to 133,020.56 and 288,646.88 is: 626,346.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,020.56 : 288,646.88 = 288,646.88 : x
  2. Step 2: Convert to fraction form
    133,020.56/288,646.88 = 288,646.88/x
  3. Step 3: Cross multiply
    133,020.56x = 288,646.88 × 288,646.88
  4. Step 4: Simplify right side
    133,020.56x = 83,317,018,447.27
  5. Step 5: Solve for x
    x = 83,317,018,447.27/133,020.56
  6. Step 6: Final answer
    x = 626,346.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.