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Finding the Third Proportional to 200,080 and 426,944

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Solution

The third proportional to 200,080 and 426,944 is: 911,041.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,080 : 426,944 = 426,944 : x
  2. Step 2: Convert to fraction form
    200,080/426,944 = 426,944/x
  3. Step 3: Cross multiply
    200,080x = 426,944 × 426,944
  4. Step 4: Simplify right side
    200,080x = 182,281,179,136
  5. Step 5: Solve for x
    x = 182,281,179,136/200,080
  6. Step 6: Final answer
    x = 911,041.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.