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Finding the Third Proportional to 209,205 and 315,774

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Solution

The third proportional to 209,205 and 315,774 is: 476,629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,205 : 315,774 = 315,774 : x
  2. Step 2: Convert to fraction form
    209,205/315,774 = 315,774/x
  3. Step 3: Cross multiply
    209,205x = 315,774 × 315,774
  4. Step 4: Simplify right side
    209,205x = 99,713,219,076
  5. Step 5: Solve for x
    x = 99,713,219,076/209,205
  6. Step 6: Final answer
    x = 476,629.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.