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Finding the Third Proportional to 163,656.13 and 253,994.38

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Solution

The third proportional to 163,656.13 and 253,994.38 is: 394,199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,656.13 : 253,994.38 = 253,994.38 : x
  2. Step 2: Convert to fraction form
    163,656.13/253,994.38 = 253,994.38/x
  3. Step 3: Cross multiply
    163,656.13x = 253,994.38 × 253,994.38
  4. Step 4: Simplify right side
    163,656.13x = 64,513,142,531.64
  5. Step 5: Solve for x
    x = 64,513,142,531.64/163,656.13
  6. Step 6: Final answer
    x = 394,199.38

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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.