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Finding the Third Proportional to 188,496 and 410,862

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Solution

The third proportional to 188,496 and 410,862 is: 895,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,496 : 410,862 = 410,862 : x
  2. Step 2: Convert to fraction form
    188,496/410,862 = 410,862/x
  3. Step 3: Cross multiply
    188,496x = 410,862 × 410,862
  4. Step 4: Simplify right side
    188,496x = 168,807,583,044
  5. Step 5: Solve for x
    x = 168,807,583,044/188,496
  6. Step 6: Final answer
    x = 895,549.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.