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Finding the Third Proportional to 191,872 and 293,657

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Solution

The third proportional to 191,872 and 293,657 is: 449,437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,872 : 293,657 = 293,657 : x
  2. Step 2: Convert to fraction form
    191,872/293,657 = 293,657/x
  3. Step 3: Cross multiply
    191,872x = 293,657 × 293,657
  4. Step 4: Simplify right side
    191,872x = 86,234,433,649
  5. Step 5: Solve for x
    x = 86,234,433,649/191,872
  6. Step 6: Final answer
    x = 449,437.30

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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.