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Finding the Third Proportional to 186,799 and 291,864

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Solution

The third proportional to 186,799 and 291,864 is: 456,022.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,799 : 291,864 = 291,864 : x
  2. Step 2: Convert to fraction form
    186,799/291,864 = 291,864/x
  3. Step 3: Cross multiply
    186,799x = 291,864 × 291,864
  4. Step 4: Simplify right side
    186,799x = 85,184,594,496
  5. Step 5: Solve for x
    x = 85,184,594,496/186,799
  6. Step 6: Final answer
    x = 456,022.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.