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Finding the Third Proportional to 162,538.88 and 215,672.06

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Solution

The third proportional to 162,538.88 and 215,672.06 is: 286,174.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,538.88 : 215,672.06 = 215,672.06 : x
  2. Step 2: Convert to fraction form
    162,538.88/215,672.06 = 215,672.06/x
  3. Step 3: Cross multiply
    162,538.88x = 215,672.06 × 215,672.06
  4. Step 4: Simplify right side
    162,538.88x = 46,514,438,543.00
  5. Step 5: Solve for x
    x = 46,514,438,543.00/162,538.88
  6. Step 6: Final answer
    x = 286,174.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.