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Finding the Third Proportional to 163,074 and 252,035

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Solution

The third proportional to 163,074 and 252,035 is: 389,526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,074 : 252,035 = 252,035 : x
  2. Step 2: Convert to fraction form
    163,074/252,035 = 252,035/x
  3. Step 3: Cross multiply
    163,074x = 252,035 × 252,035
  4. Step 4: Simplify right side
    163,074x = 63,521,641,225
  5. Step 5: Solve for x
    x = 63,521,641,225/163,074
  6. Step 6: Final answer
    x = 389,526.48

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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.