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Finding the Third Proportional to 186,794.75 and 291,856

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Solution

The third proportional to 186,794.75 and 291,856 is: 456,008.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,794.75 : 291,856 = 291,856 : x
  2. Step 2: Convert to fraction form
    186,794.75/291,856 = 291,856/x
  3. Step 3: Cross multiply
    186,794.75x = 291,856 × 291,856
  4. Step 4: Simplify right side
    186,794.75x = 85,179,924,736
  5. Step 5: Solve for x
    x = 85,179,924,736/186,794.75
  6. Step 6: Final answer
    x = 456,008.13

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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.