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Finding the Third Proportional to 140,646 and 302,060

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Solution

The third proportional to 140,646 and 302,060 is: 648,722.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,646 : 302,060 = 302,060 : x
  2. Step 2: Convert to fraction form
    140,646/302,060 = 302,060/x
  3. Step 3: Cross multiply
    140,646x = 302,060 × 302,060
  4. Step 4: Simplify right side
    140,646x = 91,240,243,600
  5. Step 5: Solve for x
    x = 91,240,243,600/140,646
  6. Step 6: Final answer
    x = 648,722.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.