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Finding the Third Proportional to 140,368.57 and 304,383.13

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Solution

The third proportional to 140,368.57 and 304,383.13 is: 660,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,368.57 : 304,383.13 = 304,383.13 : x
  2. Step 2: Convert to fraction form
    140,368.57/304,383.13 = 304,383.13/x
  3. Step 3: Cross multiply
    140,368.57x = 304,383.13 × 304,383.13
  4. Step 4: Simplify right side
    140,368.57x = 92,649,089,162.76
  5. Step 5: Solve for x
    x = 92,649,089,162.76/140,368.57
  6. Step 6: Final answer
    x = 660,041.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.