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Finding the Third Proportional to 150,364 and 211,557

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Solution

The third proportional to 150,364 and 211,557 is: 297,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,364 : 211,557 = 211,557 : x
  2. Step 2: Convert to fraction form
    150,364/211,557 = 211,557/x
  3. Step 3: Cross multiply
    150,364x = 211,557 × 211,557
  4. Step 4: Simplify right side
    150,364x = 44,756,364,249
  5. Step 5: Solve for x
    x = 44,756,364,249/150,364
  6. Step 6: Final answer
    x = 297,653.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.