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Finding the Third Proportional to 98,950 and 233,342

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Solution

The third proportional to 98,950 and 233,342 is: 550,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,950 : 233,342 = 233,342 : x
  2. Step 2: Convert to fraction form
    98,950/233,342 = 233,342/x
  3. Step 3: Cross multiply
    98,950x = 233,342 × 233,342
  4. Step 4: Simplify right side
    98,950x = 54,448,488,964
  5. Step 5: Solve for x
    x = 54,448,488,964/98,950
  6. Step 6: Final answer
    x = 550,262.65

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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.