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Finding the Third Proportional to 171,633 and 358,950

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Solution

The third proportional to 171,633 and 358,950 is: 750,701.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,633 : 358,950 = 358,950 : x
  2. Step 2: Convert to fraction form
    171,633/358,950 = 358,950/x
  3. Step 3: Cross multiply
    171,633x = 358,950 × 358,950
  4. Step 4: Simplify right side
    171,633x = 128,845,102,500
  5. Step 5: Solve for x
    x = 128,845,102,500/171,633
  6. Step 6: Final answer
    x = 750,701.22

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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.