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Finding the Third Proportional to 112,368 and 240,288

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Solution

The third proportional to 112,368 and 240,288 is: 513,832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,368 : 240,288 = 240,288 : x
  2. Step 2: Convert to fraction form
    112,368/240,288 = 240,288/x
  3. Step 3: Cross multiply
    112,368x = 240,288 × 240,288
  4. Step 4: Simplify right side
    112,368x = 57,738,322,944
  5. Step 5: Solve for x
    x = 57,738,322,944/112,368
  6. Step 6: Final answer
    x = 513,832.43

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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.