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Finding the Third Proportional to 98,253 and 210,526

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Solution

The third proportional to 98,253 and 210,526 is: 451,092.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,253 : 210,526 = 210,526 : x
  2. Step 2: Convert to fraction form
    98,253/210,526 = 210,526/x
  3. Step 3: Cross multiply
    98,253x = 210,526 × 210,526
  4. Step 4: Simplify right side
    98,253x = 44,321,196,676
  5. Step 5: Solve for x
    x = 44,321,196,676/98,253
  6. Step 6: Final answer
    x = 451,092.55

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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.