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Finding the Third Proportional to 240,646 and 352,761

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Solution

The third proportional to 240,646 and 352,761 is: 517,109.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,646 : 352,761 = 352,761 : x
  2. Step 2: Convert to fraction form
    240,646/352,761 = 352,761/x
  3. Step 3: Cross multiply
    240,646x = 352,761 × 352,761
  4. Step 4: Simplify right side
    240,646x = 124,440,323,121
  5. Step 5: Solve for x
    x = 124,440,323,121/240,646
  6. Step 6: Final answer
    x = 517,109.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.