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Finding the Third Proportional to 203,542 and 435,095

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Solution

The third proportional to 203,542 and 435,095 is: 930,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,542 : 435,095 = 435,095 : x
  2. Step 2: Convert to fraction form
    203,542/435,095 = 435,095/x
  3. Step 3: Cross multiply
    203,542x = 435,095 × 435,095
  4. Step 4: Simplify right side
    203,542x = 189,307,659,025
  5. Step 5: Solve for x
    x = 189,307,659,025/203,542
  6. Step 6: Final answer
    x = 930,066.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.