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Finding the Third Proportional to 201,936.75 and 316,805.63

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Solution

The third proportional to 201,936.75 and 316,805.63 is: 497,016.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,936.75 : 316,805.63 = 316,805.63 : x
  2. Step 2: Convert to fraction form
    201,936.75/316,805.63 = 316,805.63/x
  3. Step 3: Cross multiply
    201,936.75x = 316,805.63 × 316,805.63
  4. Step 4: Simplify right side
    201,936.75x = 100,365,804,031.64
  5. Step 5: Solve for x
    x = 100,365,804,031.64/201,936.75
  6. Step 6: Final answer
    x = 497,016.04

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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.