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Finding the Third Proportional to 194,101.50 and 411,531

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Solution

The third proportional to 194,101.50 and 411,531 is: 872,521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,101.50 : 411,531 = 411,531 : x
  2. Step 2: Convert to fraction form
    194,101.50/411,531 = 411,531/x
  3. Step 3: Cross multiply
    194,101.50x = 411,531 × 411,531
  4. Step 4: Simplify right side
    194,101.50x = 169,357,763,961
  5. Step 5: Solve for x
    x = 169,357,763,961/194,101.50
  6. Step 6: Final answer
    x = 872,521.67

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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.