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Finding the Third Proportional to 140,586 and 292,838

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Solution

The third proportional to 140,586 and 292,838 is: 609,976.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,586 : 292,838 = 292,838 : x
  2. Step 2: Convert to fraction form
    140,586/292,838 = 292,838/x
  3. Step 3: Cross multiply
    140,586x = 292,838 × 292,838
  4. Step 4: Simplify right side
    140,586x = 85,754,094,244
  5. Step 5: Solve for x
    x = 85,754,094,244/140,586
  6. Step 6: Final answer
    x = 609,976.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.