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Finding the Third Proportional to 301,192 and 401,534

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Solution

The third proportional to 301,192 and 401,534 is: 535,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,192 : 401,534 = 401,534 : x
  2. Step 2: Convert to fraction form
    301,192/401,534 = 401,534/x
  3. Step 3: Cross multiply
    301,192x = 401,534 × 401,534
  4. Step 4: Simplify right side
    301,192x = 161,229,553,156
  5. Step 5: Solve for x
    x = 161,229,553,156/301,192
  6. Step 6: Final answer
    x = 535,304.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.