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Finding the Third Proportional to 194,805 and 291,424

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Solution

The third proportional to 194,805 and 291,424 is: 435,963.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,805 : 291,424 = 291,424 : x
  2. Step 2: Convert to fraction form
    194,805/291,424 = 291,424/x
  3. Step 3: Cross multiply
    194,805x = 291,424 × 291,424
  4. Step 4: Simplify right side
    194,805x = 84,927,947,776
  5. Step 5: Solve for x
    x = 84,927,947,776/194,805
  6. Step 6: Final answer
    x = 435,963.90

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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.