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Finding the Third Proportional to 140,362 and 215,749

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Solution

The third proportional to 140,362 and 215,749 is: 331,625.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,362 : 215,749 = 215,749 : x
  2. Step 2: Convert to fraction form
    140,362/215,749 = 215,749/x
  3. Step 3: Cross multiply
    140,362x = 215,749 × 215,749
  4. Step 4: Simplify right side
    140,362x = 46,547,631,001
  5. Step 5: Solve for x
    x = 46,547,631,001/140,362
  6. Step 6: Final answer
    x = 331,625.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.