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Finding the Third Proportional to 195,383.39 and 292,254.96

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Solution

The third proportional to 195,383.39 and 292,254.96 is: 437,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,383.39 : 292,254.96 = 292,254.96 : x
  2. Step 2: Convert to fraction form
    195,383.39/292,254.96 = 292,254.96/x
  3. Step 3: Cross multiply
    195,383.39x = 292,254.96 × 292,254.96
  4. Step 4: Simplify right side
    195,383.39x = 85,412,962,192.58
  5. Step 5: Solve for x
    x = 85,412,962,192.58/195,383.39
  6. Step 6: Final answer
    x = 437,155.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.