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Finding the Third Proportional to 162,902.81 and 252,236.53

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Solution

The third proportional to 162,902.81 and 252,236.53 is: 390,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,902.81 : 252,236.53 = 252,236.53 : x
  2. Step 2: Convert to fraction form
    162,902.81/252,236.53 = 252,236.53/x
  3. Step 3: Cross multiply
    162,902.81x = 252,236.53 × 252,236.53
  4. Step 4: Simplify right side
    162,902.81x = 63,623,267,697.03
  5. Step 5: Solve for x
    x = 63,623,267,697.03/162,902.81
  6. Step 6: Final answer
    x = 390,559.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.