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Finding the Third Proportional to 140,196.66 and 304,055.44

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Solution

The third proportional to 140,196.66 and 304,055.44 is: 659,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,196.66 : 304,055.44 = 304,055.44 : x
  2. Step 2: Convert to fraction form
    140,196.66/304,055.44 = 304,055.44/x
  3. Step 3: Cross multiply
    140,196.66x = 304,055.44 × 304,055.44
  4. Step 4: Simplify right side
    140,196.66x = 92,449,709,073.32
  5. Step 5: Solve for x
    x = 92,449,709,073.32/140,196.66
  6. Step 6: Final answer
    x = 659,428.77

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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.