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Finding the Third Proportional to 201,926 and 316,780

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Solution

The third proportional to 201,926 and 316,780 is: 496,962.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,926 : 316,780 = 316,780 : x
  2. Step 2: Convert to fraction form
    201,926/316,780 = 316,780/x
  3. Step 3: Cross multiply
    201,926x = 316,780 × 316,780
  4. Step 4: Simplify right side
    201,926x = 100,349,568,400
  5. Step 5: Solve for x
    x = 100,349,568,400/201,926
  6. Step 6: Final answer
    x = 496,962.10

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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.