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Finding the Third Proportional to 188,373 and 282,560

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Solution

The third proportional to 188,373 and 282,560 is: 423,840.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,373 : 282,560 = 282,560 : x
  2. Step 2: Convert to fraction form
    188,373/282,560 = 282,560/x
  3. Step 3: Cross multiply
    188,373x = 282,560 × 282,560
  4. Step 4: Simplify right side
    188,373x = 79,840,153,600
  5. Step 5: Solve for x
    x = 79,840,153,600/188,373
  6. Step 6: Final answer
    x = 423,840.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.