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Finding the Third Proportional to 195,440.34 and 293,160.52

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Solution

The third proportional to 195,440.34 and 293,160.52 is: 439,740.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,440.34 : 293,160.52 = 293,160.52 : x
  2. Step 2: Convert to fraction form
    195,440.34/293,160.52 = 293,160.52/x
  3. Step 3: Cross multiply
    195,440.34x = 293,160.52 × 293,160.52
  4. Step 4: Simplify right side
    195,440.34x = 85,943,087,921.52
  5. Step 5: Solve for x
    x = 85,943,087,921.52/195,440.34
  6. Step 6: Final answer
    x = 439,740.77

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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.