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Finding the Third Proportional to 163,656.38 and 253,996.88

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Solution

The third proportional to 163,656.38 and 253,996.88 is: 394,206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,656.38 : 253,996.88 = 253,996.88 : x
  2. Step 2: Convert to fraction form
    163,656.38/253,996.88 = 253,996.88/x
  3. Step 3: Cross multiply
    163,656.38x = 253,996.88 × 253,996.88
  4. Step 4: Simplify right side
    163,656.38x = 64,514,412,509.77
  5. Step 5: Solve for x
    x = 64,514,412,509.77/163,656.38
  6. Step 6: Final answer
    x = 394,206.53

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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.