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Finding the Third Proportional to 107,602 and 233,348

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Solution

The third proportional to 107,602 and 233,348 is: 506,043.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,602 : 233,348 = 233,348 : x
  2. Step 2: Convert to fraction form
    107,602/233,348 = 233,348/x
  3. Step 3: Cross multiply
    107,602x = 233,348 × 233,348
  4. Step 4: Simplify right side
    107,602x = 54,451,289,104
  5. Step 5: Solve for x
    x = 54,451,289,104/107,602
  6. Step 6: Final answer
    x = 506,043.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.