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Finding the Third Proportional to 101,860 and 240,829

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Solution

The third proportional to 101,860 and 240,829 is: 569,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,860 : 240,829 = 240,829 : x
  2. Step 2: Convert to fraction form
    101,860/240,829 = 240,829/x
  3. Step 3: Cross multiply
    101,860x = 240,829 × 240,829
  4. Step 4: Simplify right side
    101,860x = 57,998,607,241
  5. Step 5: Solve for x
    x = 57,998,607,241/101,860
  6. Step 6: Final answer
    x = 569,395.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.