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Finding the Third Proportional to 162,539.25 and 215,672.25

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Solution

The third proportional to 162,539.25 and 215,672.25 is: 286,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,539.25 : 215,672.25 = 215,672.25 : x
  2. Step 2: Convert to fraction form
    162,539.25/215,672.25 = 215,672.25/x
  3. Step 3: Cross multiply
    162,539.25x = 215,672.25 × 215,672.25
  4. Step 4: Simplify right side
    162,539.25x = 46,514,519,420.06
  5. Step 5: Solve for x
    x = 46,514,519,420.06/162,539.25
  6. Step 6: Final answer
    x = 286,174.07

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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.