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Finding the Third Proportional to 201,937 and 316,806

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Solution

The third proportional to 201,937 and 316,806 is: 497,016.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,937 : 316,806 = 316,806 : x
  2. Step 2: Convert to fraction form
    201,937/316,806 = 316,806/x
  3. Step 3: Cross multiply
    201,937x = 316,806 × 316,806
  4. Step 4: Simplify right side
    201,937x = 100,366,041,636
  5. Step 5: Solve for x
    x = 100,366,041,636/201,937
  6. Step 6: Final answer
    x = 497,016.60

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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.