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Finding the Third Proportional to 142,480.75 and 309,655

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Solution

The third proportional to 142,480.75 and 309,655 is: 672,976.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,480.75 : 309,655 = 309,655 : x
  2. Step 2: Convert to fraction form
    142,480.75/309,655 = 309,655/x
  3. Step 3: Cross multiply
    142,480.75x = 309,655 × 309,655
  4. Step 4: Simplify right side
    142,480.75x = 95,886,219,025
  5. Step 5: Solve for x
    x = 95,886,219,025/142,480.75
  6. Step 6: Final answer
    x = 672,976.66

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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.