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Finding the Third Proportional to 133,202.25 and 285,358.50

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Solution

The third proportional to 133,202.25 and 285,358.50 is: 611,322.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,202.25 : 285,358.50 = 285,358.50 : x
  2. Step 2: Convert to fraction form
    133,202.25/285,358.50 = 285,358.50/x
  3. Step 3: Cross multiply
    133,202.25x = 285,358.50 × 285,358.50
  4. Step 4: Simplify right side
    133,202.25x = 81,429,473,522.25
  5. Step 5: Solve for x
    x = 81,429,473,522.25/133,202.25
  6. Step 6: Final answer
    x = 611,322.06

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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.