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Finding the Third Proportional to 124,284 and 269,304

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Solution

The third proportional to 124,284 and 269,304 is: 583,539.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,284 : 269,304 = 269,304 : x
  2. Step 2: Convert to fraction form
    124,284/269,304 = 269,304/x
  3. Step 3: Cross multiply
    124,284x = 269,304 × 269,304
  4. Step 4: Simplify right side
    124,284x = 72,524,644,416
  5. Step 5: Solve for x
    x = 72,524,644,416/124,284
  6. Step 6: Final answer
    x = 583,539.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.