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Finding the Third Proportional to 112,230 and 240,224

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Solution

The third proportional to 112,230 and 240,224 is: 514,190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,230 : 240,224 = 240,224 : x
  2. Step 2: Convert to fraction form
    112,230/240,224 = 240,224/x
  3. Step 3: Cross multiply
    112,230x = 240,224 × 240,224
  4. Step 4: Simplify right side
    112,230x = 57,707,570,176
  5. Step 5: Solve for x
    x = 57,707,570,176/112,230
  6. Step 6: Final answer
    x = 514,190.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.