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Finding the Third Proportional to 98,971 and 233,399

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Solution

The third proportional to 98,971 and 233,399 is: 550,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,971 : 233,399 = 233,399 : x
  2. Step 2: Convert to fraction form
    98,971/233,399 = 233,399/x
  3. Step 3: Cross multiply
    98,971x = 233,399 × 233,399
  4. Step 4: Simplify right side
    98,971x = 54,475,093,201
  5. Step 5: Solve for x
    x = 54,475,093,201/98,971
  6. Step 6: Final answer
    x = 550,414.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.