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Finding the Third Proportional to 221,433.75 and 352,512

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Solution

The third proportional to 221,433.75 and 352,512 is: 561,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,433.75 : 352,512 = 352,512 : x
  2. Step 2: Convert to fraction form
    221,433.75/352,512 = 352,512/x
  3. Step 3: Cross multiply
    221,433.75x = 352,512 × 352,512
  4. Step 4: Simplify right side
    221,433.75x = 124,264,710,144
  5. Step 5: Solve for x
    x = 124,264,710,144/221,433.75
  6. Step 6: Final answer
    x = 561,182.34

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