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Finding the Third Proportional to 107,307 and 235,629

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Solution

The third proportional to 107,307 and 235,629 is: 517,403.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,307 : 235,629 = 235,629 : x
  2. Step 2: Convert to fraction form
    107,307/235,629 = 235,629/x
  3. Step 3: Cross multiply
    107,307x = 235,629 × 235,629
  4. Step 4: Simplify right side
    107,307x = 55,521,025,641
  5. Step 5: Solve for x
    x = 55,521,025,641/107,307
  6. Step 6: Final answer
    x = 517,403.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.