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Finding the Third Proportional to 198,034 and 416,804

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Solution

The third proportional to 198,034 and 416,804 is: 877,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,034 : 416,804 = 416,804 : x
  2. Step 2: Convert to fraction form
    198,034/416,804 = 416,804/x
  3. Step 3: Cross multiply
    198,034x = 416,804 × 416,804
  4. Step 4: Simplify right side
    198,034x = 173,725,574,416
  5. Step 5: Solve for x
    x = 173,725,574,416/198,034
  6. Step 6: Final answer
    x = 877,251.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.