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Finding the Third Proportional to 140,309.44 and 307,783.13

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Solution

The third proportional to 140,309.44 and 307,783.13 is: 675,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,309.44 : 307,783.13 = 307,783.13 : x
  2. Step 2: Convert to fraction form
    140,309.44/307,783.13 = 307,783.13/x
  3. Step 3: Cross multiply
    140,309.44x = 307,783.13 × 307,783.13
  4. Step 4: Simplify right side
    140,309.44x = 94,730,452,034.77
  5. Step 5: Solve for x
    x = 94,730,452,034.77/140,309.44
  6. Step 6: Final answer
    x = 675,153.82

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Why These Related Problems?

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