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Finding the Third Proportional to 98,259 and 210,538

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Solution

The third proportional to 98,259 and 210,538 is: 451,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,259 : 210,538 = 210,538 : x
  2. Step 2: Convert to fraction form
    98,259/210,538 = 210,538/x
  3. Step 3: Cross multiply
    98,259x = 210,538 × 210,538
  4. Step 4: Simplify right side
    98,259x = 44,326,249,444
  5. Step 5: Solve for x
    x = 44,326,249,444/98,259
  6. Step 6: Final answer
    x = 451,116.43

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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.