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Finding the Third Proportional to 188,641 and 282,961.50

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Solution

The third proportional to 188,641 and 282,961.50 is: 424,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,641 : 282,961.50 = 282,961.50 : x
  2. Step 2: Convert to fraction form
    188,641/282,961.50 = 282,961.50/x
  3. Step 3: Cross multiply
    188,641x = 282,961.50 × 282,961.50
  4. Step 4: Simplify right side
    188,641x = 80,067,210,482.25
  5. Step 5: Solve for x
    x = 80,067,210,482.25/188,641
  6. Step 6: Final answer
    x = 424,442.25

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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.