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Finding the Third Proportional to 162,537.75 and 215,670.38

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Solution

The third proportional to 162,537.75 and 215,670.38 is: 286,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,537.75 : 215,670.38 = 215,670.38 : x
  2. Step 2: Convert to fraction form
    162,537.75/215,670.38 = 215,670.38/x
  3. Step 3: Cross multiply
    162,537.75x = 215,670.38 × 215,670.38
  4. Step 4: Simplify right side
    162,537.75x = 46,513,710,652.64
  5. Step 5: Solve for x
    x = 46,513,710,652.64/162,537.75
  6. Step 6: Final answer
    x = 286,171.74

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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.