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Finding the Third Proportional to 194,862 and 420,810

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Solution

The third proportional to 194,862 and 420,810 is: 908,751.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,862 : 420,810 = 420,810 : x
  2. Step 2: Convert to fraction form
    194,862/420,810 = 420,810/x
  3. Step 3: Cross multiply
    194,862x = 420,810 × 420,810
  4. Step 4: Simplify right side
    194,862x = 177,081,056,100
  5. Step 5: Solve for x
    x = 177,081,056,100/194,862
  6. Step 6: Final answer
    x = 908,751.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.