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Finding the Third Proportional to 140,730.75 and 287,192.25

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Solution

The third proportional to 140,730.75 and 287,192.25 is: 586,079.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,730.75 : 287,192.25 = 287,192.25 : x
  2. Step 2: Convert to fraction form
    140,730.75/287,192.25 = 287,192.25/x
  3. Step 3: Cross multiply
    140,730.75x = 287,192.25 × 287,192.25
  4. Step 4: Simplify right side
    140,730.75x = 82,479,388,460.06
  5. Step 5: Solve for x
    x = 82,479,388,460.06/140,730.75
  6. Step 6: Final answer
    x = 586,079.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.