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Finding the Third Proportional to 163,290 and 252,321

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Solution

The third proportional to 163,290 and 252,321 is: 389,894.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,290 : 252,321 = 252,321 : x
  2. Step 2: Convert to fraction form
    163,290/252,321 = 252,321/x
  3. Step 3: Cross multiply
    163,290x = 252,321 × 252,321
  4. Step 4: Simplify right side
    163,290x = 63,665,887,041
  5. Step 5: Solve for x
    x = 63,665,887,041/163,290
  6. Step 6: Final answer
    x = 389,894.59

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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.