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Finding the Third Proportional to 103,140 and 226,192

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Solution

The third proportional to 103,140 and 226,192 is: 496,052.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,140 : 226,192 = 226,192 : x
  2. Step 2: Convert to fraction form
    103,140/226,192 = 226,192/x
  3. Step 3: Cross multiply
    103,140x = 226,192 × 226,192
  4. Step 4: Simplify right side
    103,140x = 51,162,820,864
  5. Step 5: Solve for x
    x = 51,162,820,864/103,140
  6. Step 6: Final answer
    x = 496,052.17

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1.5x scale

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.