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Finding the Third Proportional to 107,148 and 233,344

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Solution

The third proportional to 107,148 and 233,344 is: 508,170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,148 : 233,344 = 233,344 : x
  2. Step 2: Convert to fraction form
    107,148/233,344 = 233,344/x
  3. Step 3: Cross multiply
    107,148x = 233,344 × 233,344
  4. Step 4: Simplify right side
    107,148x = 54,449,422,336
  5. Step 5: Solve for x
    x = 54,449,422,336/107,148
  6. Step 6: Final answer
    x = 508,170.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.