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Finding the Third Proportional to 111,776 and 244,288

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Solution

The third proportional to 111,776 and 244,288 is: 533,894.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,776 : 244,288 = 244,288 : x
  2. Step 2: Convert to fraction form
    111,776/244,288 = 244,288/x
  3. Step 3: Cross multiply
    111,776x = 244,288 × 244,288
  4. Step 4: Simplify right side
    111,776x = 59,676,626,944
  5. Step 5: Solve for x
    x = 59,676,626,944/111,776
  6. Step 6: Final answer
    x = 533,894.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.