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Finding the Third Proportional to 152,717 and 328,036

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Solution

The third proportional to 152,717 and 328,036 is: 704,621.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,717 : 328,036 = 328,036 : x
  2. Step 2: Convert to fraction form
    152,717/328,036 = 328,036/x
  3. Step 3: Cross multiply
    152,717x = 328,036 × 328,036
  4. Step 4: Simplify right side
    152,717x = 107,607,617,296
  5. Step 5: Solve for x
    x = 107,607,617,296/152,717
  6. Step 6: Final answer
    x = 704,621.08

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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.