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Finding the Third Proportional to 107,289 and 235,582

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Solution

The third proportional to 107,289 and 235,582 is: 517,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,289 : 235,582 = 235,582 : x
  2. Step 2: Convert to fraction form
    107,289/235,582 = 235,582/x
  3. Step 3: Cross multiply
    107,289x = 235,582 × 235,582
  4. Step 4: Simplify right side
    107,289x = 55,498,878,724
  5. Step 5: Solve for x
    x = 55,498,878,724/107,289
  6. Step 6: Final answer
    x = 517,283.96

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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.