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Finding the Third Proportional to 107,878.50 and 239,337

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Solution

The third proportional to 107,878.50 and 239,337 is: 530,988.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,878.50 : 239,337 = 239,337 : x
  2. Step 2: Convert to fraction form
    107,878.50/239,337 = 239,337/x
  3. Step 3: Cross multiply
    107,878.50x = 239,337 × 239,337
  4. Step 4: Simplify right side
    107,878.50x = 57,282,199,569
  5. Step 5: Solve for x
    x = 57,282,199,569/107,878.50
  6. Step 6: Final answer
    x = 530,988.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.