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Finding the Third Proportional to 140,216.06 and 304,215.75

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Solution

The third proportional to 140,216.06 and 304,215.75 is: 660,032.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,216.06 : 304,215.75 = 304,215.75 : x
  2. Step 2: Convert to fraction form
    140,216.06/304,215.75 = 304,215.75/x
  3. Step 3: Cross multiply
    140,216.06x = 304,215.75 × 304,215.75
  4. Step 4: Simplify right side
    140,216.06x = 92,547,222,548.06
  5. Step 5: Solve for x
    x = 92,547,222,548.06/140,216.06
  6. Step 6: Final answer
    x = 660,032.96

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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.