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Finding the Third Proportional to 200,841.75 and 416,445.75

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Solution

The third proportional to 200,841.75 and 416,445.75 is: 863,501.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,841.75 : 416,445.75 = 416,445.75 : x
  2. Step 2: Convert to fraction form
    200,841.75/416,445.75 = 416,445.75/x
  3. Step 3: Cross multiply
    200,841.75x = 416,445.75 × 416,445.75
  4. Step 4: Simplify right side
    200,841.75x = 173,427,062,693.06
  5. Step 5: Solve for x
    x = 173,427,062,693.06/200,841.75
  6. Step 6: Final answer
    x = 863,501.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.