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Finding the Third Proportional to 152,560.50 and 319,063.13

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Solution

The third proportional to 152,560.50 and 319,063.13 is: 667,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,560.50 : 319,063.13 = 319,063.13 : x
  2. Step 2: Convert to fraction form
    152,560.50/319,063.13 = 319,063.13/x
  3. Step 3: Cross multiply
    152,560.50x = 319,063.13 × 319,063.13
  4. Step 4: Simplify right side
    152,560.50x = 101,801,277,734.77
  5. Step 5: Solve for x
    x = 101,801,277,734.77/152,560.50
  6. Step 6: Final answer
    x = 667,284.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.