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Finding the Third Proportional to 282,170 and 437,091

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Solution

The third proportional to 282,170 and 437,091 is: 677,068.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,170 : 437,091 = 437,091 : x
  2. Step 2: Convert to fraction form
    282,170/437,091 = 437,091/x
  3. Step 3: Cross multiply
    282,170x = 437,091 × 437,091
  4. Step 4: Simplify right side
    282,170x = 191,048,542,281
  5. Step 5: Solve for x
    x = 191,048,542,281/282,170
  6. Step 6: Final answer
    x = 677,068.94

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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.