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Finding the Third Proportional to 110,725 and 240,206

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Solution

The third proportional to 110,725 and 240,206 is: 521,101.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,725 : 240,206 = 240,206 : x
  2. Step 2: Convert to fraction form
    110,725/240,206 = 240,206/x
  3. Step 3: Cross multiply
    110,725x = 240,206 × 240,206
  4. Step 4: Simplify right side
    110,725x = 57,698,922,436
  5. Step 5: Solve for x
    x = 57,698,922,436/110,725
  6. Step 6: Final answer
    x = 521,101.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.