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Finding the Third Proportional to 152,022 and 351,915

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Solution

The third proportional to 152,022 and 351,915 is: 814,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,022 : 351,915 = 351,915 : x
  2. Step 2: Convert to fraction form
    152,022/351,915 = 351,915/x
  3. Step 3: Cross multiply
    152,022x = 351,915 × 351,915
  4. Step 4: Simplify right side
    152,022x = 123,844,167,225
  5. Step 5: Solve for x
    x = 123,844,167,225/152,022
  6. Step 6: Final answer
    x = 814,646.35

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.