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Finding the Third Proportional to 156,751.31 and 240,187.08

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Solution

The third proportional to 156,751.31 and 240,187.08 is: 368,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,751.31 : 240,187.08 = 240,187.08 : x
  2. Step 2: Convert to fraction form
    156,751.31/240,187.08 = 240,187.08/x
  3. Step 3: Cross multiply
    156,751.31x = 240,187.08 × 240,187.08
  4. Step 4: Simplify right side
    156,751.31x = 57,689,832,498.22
  5. Step 5: Solve for x
    x = 57,689,832,498.22/156,751.31
  6. Step 6: Final answer
    x = 368,034.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.