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Finding the Third Proportional to 239,382 and 354,451.50

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Solution

The third proportional to 239,382 and 354,451.50 is: 524,834.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,382 : 354,451.50 = 354,451.50 : x
  2. Step 2: Convert to fraction form
    239,382/354,451.50 = 354,451.50/x
  3. Step 3: Cross multiply
    239,382x = 354,451.50 × 354,451.50
  4. Step 4: Simplify right side
    239,382x = 125,635,865,852.25
  5. Step 5: Solve for x
    x = 125,635,865,852.25/239,382
  6. Step 6: Final answer
    x = 524,834.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.