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Finding the Third Proportional to 237,120.75 and 355,687.88

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Solution

The third proportional to 237,120.75 and 355,687.88 is: 533,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,120.75 : 355,687.88 = 355,687.88 : x
  2. Step 2: Convert to fraction form
    237,120.75/355,687.88 = 355,687.88/x
  3. Step 3: Cross multiply
    237,120.75x = 355,687.88 × 355,687.88
  4. Step 4: Simplify right side
    237,120.75x = 126,513,864,422.02
  5. Step 5: Solve for x
    x = 126,513,864,422.02/237,120.75
  6. Step 6: Final answer
    x = 533,541.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.