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Finding the Third Proportional to 163,262.25 and 252,172.13

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Solution

The third proportional to 163,262.25 and 252,172.13 is: 389,500.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,262.25 : 252,172.13 = 252,172.13 : x
  2. Step 2: Convert to fraction form
    163,262.25/252,172.13 = 252,172.13/x
  3. Step 3: Cross multiply
    163,262.25x = 252,172.13 × 252,172.13
  4. Step 4: Simplify right side
    163,262.25x = 63,590,780,627.02
  5. Step 5: Solve for x
    x = 63,590,780,627.02/163,262.25
  6. Step 6: Final answer
    x = 389,500.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.