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Finding the Third Proportional to 194,432 and 424,000

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Solution

The third proportional to 194,432 and 424,000 is: 924,621.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,432 : 424,000 = 424,000 : x
  2. Step 2: Convert to fraction form
    194,432/424,000 = 424,000/x
  3. Step 3: Cross multiply
    194,432x = 424,000 × 424,000
  4. Step 4: Simplify right side
    194,432x = 179,776,000,000
  5. Step 5: Solve for x
    x = 179,776,000,000/194,432
  6. Step 6: Final answer
    x = 924,621.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.