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Finding the Third Proportional to 309,216.50 and 665,180

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Solution

The third proportional to 309,216.50 and 665,180 is: 1,430,921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,216.50 : 665,180 = 665,180 : x
  2. Step 2: Convert to fraction form
    309,216.50/665,180 = 665,180/x
  3. Step 3: Cross multiply
    309,216.50x = 665,180 × 665,180
  4. Step 4: Simplify right side
    309,216.50x = 442,464,432,400
  5. Step 5: Solve for x
    x = 442,464,432,400/309,216.50
  6. Step 6: Final answer
    x = 1,430,921.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.