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Finding the Third Proportional to 133,960.59 and 288,953.91

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Solution

The third proportional to 133,960.59 and 288,953.91 is: 623,275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,960.59 : 288,953.91 = 288,953.91 : x
  2. Step 2: Convert to fraction form
    133,960.59/288,953.91 = 288,953.91/x
  3. Step 3: Cross multiply
    133,960.59x = 288,953.91 × 288,953.91
  4. Step 4: Simplify right side
    133,960.59x = 83,494,359,937.13
  5. Step 5: Solve for x
    x = 83,494,359,937.13/133,960.59
  6. Step 6: Final answer
    x = 623,275.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.