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Finding the Third Proportional to 201,832 and 312,516

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Solution

The third proportional to 201,832 and 312,516 is: 483,898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,832 : 312,516 = 312,516 : x
  2. Step 2: Convert to fraction form
    201,832/312,516 = 312,516/x
  3. Step 3: Cross multiply
    201,832x = 312,516 × 312,516
  4. Step 4: Simplify right side
    201,832x = 97,666,250,256
  5. Step 5: Solve for x
    x = 97,666,250,256/201,832
  6. Step 6: Final answer
    x = 483,898.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.