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Finding the Third Proportional to 198,420 and 468,301.50

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Solution

The third proportional to 198,420 and 468,301.50 is: 1,105,263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,420 : 468,301.50 = 468,301.50 : x
  2. Step 2: Convert to fraction form
    198,420/468,301.50 = 468,301.50/x
  3. Step 3: Cross multiply
    198,420x = 468,301.50 × 468,301.50
  4. Step 4: Simplify right side
    198,420x = 219,306,294,902.25
  5. Step 5: Solve for x
    x = 219,306,294,902.25/198,420
  6. Step 6: Final answer
    x = 1,105,263.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.