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Finding the Third Proportional to 124,205 and 268,084

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Solution

The third proportional to 124,205 and 268,084 is: 578,632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,205 : 268,084 = 268,084 : x
  2. Step 2: Convert to fraction form
    124,205/268,084 = 268,084/x
  3. Step 3: Cross multiply
    124,205x = 268,084 × 268,084
  4. Step 4: Simplify right side
    124,205x = 71,869,031,056
  5. Step 5: Solve for x
    x = 71,869,031,056/124,205
  6. Step 6: Final answer
    x = 578,632.35

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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.