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Finding the Third Proportional to 194,517 and 402,534

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Solution

The third proportional to 194,517 and 402,534 is: 833,004.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,517 : 402,534 = 402,534 : x
  2. Step 2: Convert to fraction form
    194,517/402,534 = 402,534/x
  3. Step 3: Cross multiply
    194,517x = 402,534 × 402,534
  4. Step 4: Simplify right side
    194,517x = 162,033,621,156
  5. Step 5: Solve for x
    x = 162,033,621,156/194,517
  6. Step 6: Final answer
    x = 833,004.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.