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Finding the Third Proportional to 188,604 and 282,904

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Solution

The third proportional to 188,604 and 282,904 is: 424,353.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,604 : 282,904 = 282,904 : x
  2. Step 2: Convert to fraction form
    188,604/282,904 = 282,904/x
  3. Step 3: Cross multiply
    188,604x = 282,904 × 282,904
  4. Step 4: Simplify right side
    188,604x = 80,034,673,216
  5. Step 5: Solve for x
    x = 80,034,673,216/188,604
  6. Step 6: Final answer
    x = 424,353.00

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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.