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Finding the Third Proportional to 124,329.75 and 268,315.50

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Solution

The third proportional to 124,329.75 and 268,315.50 is: 579,050.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,329.75 : 268,315.50 = 268,315.50 : x
  2. Step 2: Convert to fraction form
    124,329.75/268,315.50 = 268,315.50/x
  3. Step 3: Cross multiply
    124,329.75x = 268,315.50 × 268,315.50
  4. Step 4: Simplify right side
    124,329.75x = 71,993,207,540.25
  5. Step 5: Solve for x
    x = 71,993,207,540.25/124,329.75
  6. Step 6: Final answer
    x = 579,050.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.