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Finding the Third Proportional to 109,648 and 240,235

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Solution

The third proportional to 109,648 and 240,235 is: 526,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,648 : 240,235 = 240,235 : x
  2. Step 2: Convert to fraction form
    109,648/240,235 = 240,235/x
  3. Step 3: Cross multiply
    109,648x = 240,235 × 240,235
  4. Step 4: Simplify right side
    109,648x = 57,712,855,225
  5. Step 5: Solve for x
    x = 57,712,855,225/109,648
  6. Step 6: Final answer
    x = 526,346.63

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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.