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Finding the Third Proportional to 235,055.25 and 353,105.25

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Solution

The third proportional to 235,055.25 and 353,105.25 is: 530,442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,055.25 : 353,105.25 = 353,105.25 : x
  2. Step 2: Convert to fraction form
    235,055.25/353,105.25 = 353,105.25/x
  3. Step 3: Cross multiply
    235,055.25x = 353,105.25 × 353,105.25
  4. Step 4: Simplify right side
    235,055.25x = 124,683,317,577.56
  5. Step 5: Solve for x
    x = 124,683,317,577.56/235,055.25
  6. Step 6: Final answer
    x = 530,442.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.