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Finding the Third Proportional to 221,424.75 and 352,498.50

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Solution

The third proportional to 221,424.75 and 352,498.50 is: 561,162.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,424.75 : 352,498.50 = 352,498.50 : x
  2. Step 2: Convert to fraction form
    221,424.75/352,498.50 = 352,498.50/x
  3. Step 3: Cross multiply
    221,424.75x = 352,498.50 × 352,498.50
  4. Step 4: Simplify right side
    221,424.75x = 124,255,192,502.25
  5. Step 5: Solve for x
    x = 124,255,192,502.25/221,424.75
  6. Step 6: Final answer
    x = 561,162.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.