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Finding the Third Proportional to 140,359.50 and 287,280

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Solution

The third proportional to 140,359.50 and 287,280 is: 587,988.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,359.50 : 287,280 = 287,280 : x
  2. Step 2: Convert to fraction form
    140,359.50/287,280 = 287,280/x
  3. Step 3: Cross multiply
    140,359.50x = 287,280 × 287,280
  4. Step 4: Simplify right side
    140,359.50x = 82,529,798,400
  5. Step 5: Solve for x
    x = 82,529,798,400/140,359.50
  6. Step 6: Final answer
    x = 587,988.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.