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Finding the Third Proportional to 188,428 and 283,046

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Solution

The third proportional to 188,428 and 283,046 is: 425,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,428 : 283,046 = 283,046 : x
  2. Step 2: Convert to fraction form
    188,428/283,046 = 283,046/x
  3. Step 3: Cross multiply
    188,428x = 283,046 × 283,046
  4. Step 4: Simplify right side
    188,428x = 80,115,038,116
  5. Step 5: Solve for x
    x = 80,115,038,116/188,428
  6. Step 6: Final answer
    x = 425,175.87

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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.