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Finding the Third Proportional to 203,492.25 and 442,017

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Solution

The third proportional to 203,492.25 and 442,017 is: 960,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,492.25 : 442,017 = 442,017 : x
  2. Step 2: Convert to fraction form
    203,492.25/442,017 = 442,017/x
  3. Step 3: Cross multiply
    203,492.25x = 442,017 × 442,017
  4. Step 4: Simplify right side
    203,492.25x = 195,379,028,289
  5. Step 5: Solve for x
    x = 195,379,028,289/203,492.25
  6. Step 6: Final answer
    x = 960,130.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.