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Finding the Third Proportional to 282,175.50 and 437,101

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Solution

The third proportional to 282,175.50 and 437,101 is: 677,086.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,175.50 : 437,101 = 437,101 : x
  2. Step 2: Convert to fraction form
    282,175.50/437,101 = 437,101/x
  3. Step 3: Cross multiply
    282,175.50x = 437,101 × 437,101
  4. Step 4: Simplify right side
    282,175.50x = 191,057,284,201
  5. Step 5: Solve for x
    x = 191,057,284,201/282,175.50
  6. Step 6: Final answer
    x = 677,086.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.