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Finding the Third Proportional to 201,838 and 312,322

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Solution

The third proportional to 201,838 and 312,322 is: 483,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,838 : 312,322 = 312,322 : x
  2. Step 2: Convert to fraction form
    201,838/312,322 = 312,322/x
  3. Step 3: Cross multiply
    201,838x = 312,322 × 312,322
  4. Step 4: Simplify right side
    201,838x = 97,545,031,684
  5. Step 5: Solve for x
    x = 97,545,031,684/201,838
  6. Step 6: Final answer
    x = 483,283.78

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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.