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Finding the Third Proportional to 131,935.50 and 288,064.69

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Solution

The third proportional to 131,935.50 and 288,064.69 is: 628,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,935.50 : 288,064.69 = 288,064.69 : x
  2. Step 2: Convert to fraction form
    131,935.50/288,064.69 = 288,064.69/x
  3. Step 3: Cross multiply
    131,935.50x = 288,064.69 × 288,064.69
  4. Step 4: Simplify right side
    131,935.50x = 82,981,264,184.47
  5. Step 5: Solve for x
    x = 82,981,264,184.47/131,935.50
  6. Step 6: Final answer
    x = 628,953.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.