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Finding the Third Proportional to 201,914 and 316,786

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Solution

The third proportional to 201,914 and 316,786 is: 497,010.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,914 : 316,786 = 316,786 : x
  2. Step 2: Convert to fraction form
    201,914/316,786 = 316,786/x
  3. Step 3: Cross multiply
    201,914x = 316,786 × 316,786
  4. Step 4: Simplify right side
    201,914x = 100,353,369,796
  5. Step 5: Solve for x
    x = 100,353,369,796/201,914
  6. Step 6: Final answer
    x = 497,010.46

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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.