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Finding the Third Proportional to 194,103 and 411,534

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Solution

The third proportional to 194,103 and 411,534 is: 872,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,103 : 411,534 = 411,534 : x
  2. Step 2: Convert to fraction form
    194,103/411,534 = 411,534/x
  3. Step 3: Cross multiply
    194,103x = 411,534 × 411,534
  4. Step 4: Simplify right side
    194,103x = 169,360,233,156
  5. Step 5: Solve for x
    x = 169,360,233,156/194,103
  6. Step 6: Final answer
    x = 872,527.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.