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Finding the Third Proportional to 163,656 and 253,996

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Solution

The third proportional to 163,656 and 253,996 is: 394,204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,656 : 253,996 = 253,996 : x
  2. Step 2: Convert to fraction form
    163,656/253,996 = 253,996/x
  3. Step 3: Cross multiply
    163,656x = 253,996 × 253,996
  4. Step 4: Simplify right side
    163,656x = 64,513,968,016
  5. Step 5: Solve for x
    x = 64,513,968,016/163,656
  6. Step 6: Final answer
    x = 394,204.72

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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.