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Finding the Third Proportional to 132,575.06 and 288,203.06

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Solution

The third proportional to 132,575.06 and 288,203.06 is: 626,520.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,575.06 : 288,203.06 = 288,203.06 : x
  2. Step 2: Convert to fraction form
    132,575.06/288,203.06 = 288,203.06/x
  3. Step 3: Cross multiply
    132,575.06x = 288,203.06 × 288,203.06
  4. Step 4: Simplify right side
    132,575.06x = 83,061,005,234.38
  5. Step 5: Solve for x
    x = 83,061,005,234.38/132,575.06
  6. Step 6: Final answer
    x = 626,520.58

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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.