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Finding the Third Proportional to 98,259.75 and 200,637

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Solution

The third proportional to 98,259.75 and 200,637 is: 409,681.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,259.75 : 200,637 = 200,637 : x
  2. Step 2: Convert to fraction form
    98,259.75/200,637 = 200,637/x
  3. Step 3: Cross multiply
    98,259.75x = 200,637 × 200,637
  4. Step 4: Simplify right side
    98,259.75x = 40,255,205,769
  5. Step 5: Solve for x
    x = 40,255,205,769/98,259.75
  6. Step 6: Final answer
    x = 409,681.54

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.