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Finding the Third Proportional to 155,382 and 332,922

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Solution

The third proportional to 155,382 and 332,922 is: 713,319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,382 : 332,922 = 332,922 : x
  2. Step 2: Convert to fraction form
    155,382/332,922 = 332,922/x
  3. Step 3: Cross multiply
    155,382x = 332,922 × 332,922
  4. Step 4: Simplify right side
    155,382x = 110,837,058,084
  5. Step 5: Solve for x
    x = 110,837,058,084/155,382
  6. Step 6: Final answer
    x = 713,319.81

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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.