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Finding the Third Proportional to 194,776.31 and 293,446.13

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Solution

The third proportional to 194,776.31 and 293,446.13 is: 442,100.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,776.31 : 293,446.13 = 293,446.13 : x
  2. Step 2: Convert to fraction form
    194,776.31/293,446.13 = 293,446.13/x
  3. Step 3: Cross multiply
    194,776.31x = 293,446.13 × 293,446.13
  4. Step 4: Simplify right side
    194,776.31x = 86,110,628,277.52
  5. Step 5: Solve for x
    x = 86,110,628,277.52/194,776.31
  6. Step 6: Final answer
    x = 442,100.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.