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Finding the Third Proportional to 98,261 and 210,541

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Solution

The third proportional to 98,261 and 210,541 is: 451,120.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,261 : 210,541 = 210,541 : x
  2. Step 2: Convert to fraction form
    98,261/210,541 = 210,541/x
  3. Step 3: Cross multiply
    98,261x = 210,541 × 210,541
  4. Step 4: Simplify right side
    98,261x = 44,327,512,681
  5. Step 5: Solve for x
    x = 44,327,512,681/98,261
  6. Step 6: Final answer
    x = 451,120.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.