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Finding the Third Proportional to 195,691 and 424,840

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Solution

The third proportional to 195,691 and 424,840 is: 922,316.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,691 : 424,840 = 424,840 : x
  2. Step 2: Convert to fraction form
    195,691/424,840 = 424,840/x
  3. Step 3: Cross multiply
    195,691x = 424,840 × 424,840
  4. Step 4: Simplify right side
    195,691x = 180,489,025,600
  5. Step 5: Solve for x
    x = 180,489,025,600/195,691
  6. Step 6: Final answer
    x = 922,316.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.