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Finding the Third Proportional to 124,330 and 268,315

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Solution

The third proportional to 124,330 and 268,315 is: 579,047.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,330 : 268,315 = 268,315 : x
  2. Step 2: Convert to fraction form
    124,330/268,315 = 268,315/x
  3. Step 3: Cross multiply
    124,330x = 268,315 × 268,315
  4. Step 4: Simplify right side
    124,330x = 71,992,939,225
  5. Step 5: Solve for x
    x = 71,992,939,225/124,330
  6. Step 6: Final answer
    x = 579,047.21

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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.