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Finding the Third Proportional to 201,922 and 316,774

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Solution

The third proportional to 201,922 and 316,774 is: 496,953.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,922 : 316,774 = 316,774 : x
  2. Step 2: Convert to fraction form
    201,922/316,774 = 316,774/x
  3. Step 3: Cross multiply
    201,922x = 316,774 × 316,774
  4. Step 4: Simplify right side
    201,922x = 100,345,767,076
  5. Step 5: Solve for x
    x = 100,345,767,076/201,922
  6. Step 6: Final answer
    x = 496,953.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.