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Finding the Third Proportional to 162,652.50 and 243,114.75

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Solution

The third proportional to 162,652.50 and 243,114.75 is: 363,380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,652.50 : 243,114.75 = 243,114.75 : x
  2. Step 2: Convert to fraction form
    162,652.50/243,114.75 = 243,114.75/x
  3. Step 3: Cross multiply
    162,652.50x = 243,114.75 × 243,114.75
  4. Step 4: Simplify right side
    162,652.50x = 59,104,781,667.56
  5. Step 5: Solve for x
    x = 59,104,781,667.56/162,652.50
  6. Step 6: Final answer
    x = 363,380.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.