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Finding the Third Proportional to 141,006 and 317,520

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Solution

The third proportional to 141,006 and 317,520 is: 714,997.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,006 : 317,520 = 317,520 : x
  2. Step 2: Convert to fraction form
    141,006/317,520 = 317,520/x
  3. Step 3: Cross multiply
    141,006x = 317,520 × 317,520
  4. Step 4: Simplify right side
    141,006x = 100,818,950,400
  5. Step 5: Solve for x
    x = 100,818,950,400/141,006
  6. Step 6: Final answer
    x = 714,997.59

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.