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Finding the Third Proportional to 107,250 and 230,943

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Solution

The third proportional to 107,250 and 230,943 is: 497,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,250 : 230,943 = 230,943 : x
  2. Step 2: Convert to fraction form
    107,250/230,943 = 230,943/x
  3. Step 3: Cross multiply
    107,250x = 230,943 × 230,943
  4. Step 4: Simplify right side
    107,250x = 53,334,669,249
  5. Step 5: Solve for x
    x = 53,334,669,249/107,250
  6. Step 6: Final answer
    x = 497,292.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.