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Finding the Third Proportional to 140,596 and 292,858

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Solution

The third proportional to 140,596 and 292,858 is: 610,015.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,596 : 292,858 = 292,858 : x
  2. Step 2: Convert to fraction form
    140,596/292,858 = 292,858/x
  3. Step 3: Cross multiply
    140,596x = 292,858 × 292,858
  4. Step 4: Simplify right side
    140,596x = 85,765,808,164
  5. Step 5: Solve for x
    x = 85,765,808,164/140,596
  6. Step 6: Final answer
    x = 610,015.99

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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.