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Finding the Third Proportional to 235,111 and 352,119

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Solution

The third proportional to 235,111 and 352,119 is: 527,358.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,111 : 352,119 = 352,119 : x
  2. Step 2: Convert to fraction form
    235,111/352,119 = 352,119/x
  3. Step 3: Cross multiply
    235,111x = 352,119 × 352,119
  4. Step 4: Simplify right side
    235,111x = 123,987,790,161
  5. Step 5: Solve for x
    x = 123,987,790,161/235,111
  6. Step 6: Final answer
    x = 527,358.52

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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.