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Finding the Third Proportional to 162,540 and 215,670.50

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Solution

The third proportional to 162,540 and 215,670.50 is: 286,168.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,540 : 215,670.50 = 215,670.50 : x
  2. Step 2: Convert to fraction form
    162,540/215,670.50 = 215,670.50/x
  3. Step 3: Cross multiply
    162,540x = 215,670.50 × 215,670.50
  4. Step 4: Simplify right side
    162,540x = 46,513,764,570.25
  5. Step 5: Solve for x
    x = 46,513,764,570.25/162,540
  6. Step 6: Final answer
    x = 286,168.11

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