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Finding the Third Proportional to 187,280 and 400,804

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Solution

The third proportional to 187,280 and 400,804 is: 857,773.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,280 : 400,804 = 400,804 : x
  2. Step 2: Convert to fraction form
    187,280/400,804 = 400,804/x
  3. Step 3: Cross multiply
    187,280x = 400,804 × 400,804
  4. Step 4: Simplify right side
    187,280x = 160,643,846,416
  5. Step 5: Solve for x
    x = 160,643,846,416/187,280
  6. Step 6: Final answer
    x = 857,773.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.