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Finding the Third Proportional to 194,946 and 425,124

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Solution

The third proportional to 194,946 and 425,124 is: 927,079.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,946 : 425,124 = 425,124 : x
  2. Step 2: Convert to fraction form
    194,946/425,124 = 425,124/x
  3. Step 3: Cross multiply
    194,946x = 425,124 × 425,124
  4. Step 4: Simplify right side
    194,946x = 180,730,415,376
  5. Step 5: Solve for x
    x = 180,730,415,376/194,946
  6. Step 6: Final answer
    x = 927,079.37

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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.