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Finding the Third Proportional to 240,768 and 367,564.50

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Solution

The third proportional to 240,768 and 367,564.50 is: 561,136.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,768 : 367,564.50 = 367,564.50 : x
  2. Step 2: Convert to fraction form
    240,768/367,564.50 = 367,564.50/x
  3. Step 3: Cross multiply
    240,768x = 367,564.50 × 367,564.50
  4. Step 4: Simplify right side
    240,768x = 135,103,661,660.25
  5. Step 5: Solve for x
    x = 135,103,661,660.25/240,768
  6. Step 6: Final answer
    x = 561,136.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.