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Finding the Third Proportional to 140,031 and 307,273.50

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Solution

The third proportional to 140,031 and 307,273.50 is: 674,257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,031 : 307,273.50 = 307,273.50 : x
  2. Step 2: Convert to fraction form
    140,031/307,273.50 = 307,273.50/x
  3. Step 3: Cross multiply
    140,031x = 307,273.50 × 307,273.50
  4. Step 4: Simplify right side
    140,031x = 94,417,003,802.25
  5. Step 5: Solve for x
    x = 94,417,003,802.25/140,031
  6. Step 6: Final answer
    x = 674,257.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.