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Finding the Third Proportional to 194,758 and 291,359

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Solution

The third proportional to 194,758 and 291,359 is: 435,874.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,758 : 291,359 = 291,359 : x
  2. Step 2: Convert to fraction form
    194,758/291,359 = 291,359/x
  3. Step 3: Cross multiply
    194,758x = 291,359 × 291,359
  4. Step 4: Simplify right side
    194,758x = 84,890,066,881
  5. Step 5: Solve for x
    x = 84,890,066,881/194,758
  6. Step 6: Final answer
    x = 435,874.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.