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Finding the Third Proportional to 194,044 and 424,161.50

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Solution

The third proportional to 194,044 and 424,161.50 is: 927,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,044 : 424,161.50 = 424,161.50 : x
  2. Step 2: Convert to fraction form
    194,044/424,161.50 = 424,161.50/x
  3. Step 3: Cross multiply
    194,044x = 424,161.50 × 424,161.50
  4. Step 4: Simplify right side
    194,044x = 179,912,978,082.25
  5. Step 5: Solve for x
    x = 179,912,978,082.25/194,044
  6. Step 6: Final answer
    x = 927,176.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.