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Finding the Third Proportional to 194,102 and 424,289

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Solution

The third proportional to 194,102 and 424,289 is: 927,456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,102 : 424,289 = 424,289 : x
  2. Step 2: Convert to fraction form
    194,102/424,289 = 424,289/x
  3. Step 3: Cross multiply
    194,102x = 424,289 × 424,289
  4. Step 4: Simplify right side
    194,102x = 180,021,155,521
  5. Step 5: Solve for x
    x = 180,021,155,521/194,102
  6. Step 6: Final answer
    x = 927,456.47

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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.