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Finding the Third Proportional to 191,414.25 and 293,812.88

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Solution

The third proportional to 191,414.25 and 293,812.88 is: 450,990.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,414.25 : 293,812.88 = 293,812.88 : x
  2. Step 2: Convert to fraction form
    191,414.25/293,812.88 = 293,812.88/x
  3. Step 3: Cross multiply
    191,414.25x = 293,812.88 × 293,812.88
  4. Step 4: Simplify right side
    191,414.25x = 86,326,005,515.77
  5. Step 5: Solve for x
    x = 86,326,005,515.77/191,414.25
  6. Step 6: Final answer
    x = 450,990.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.