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Finding the Third Proportional to 98,867.50 and 233,287

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Solution

The third proportional to 98,867.50 and 233,287 is: 550,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,867.50 : 233,287 = 233,287 : x
  2. Step 2: Convert to fraction form
    98,867.50/233,287 = 233,287/x
  3. Step 3: Cross multiply
    98,867.50x = 233,287 × 233,287
  4. Step 4: Simplify right side
    98,867.50x = 54,422,824,369
  5. Step 5: Solve for x
    x = 54,422,824,369/98,867.50
  6. Step 6: Final answer
    x = 550,462.23

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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.