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Finding the Third Proportional to 187,930.13 and 405,415.13

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Solution

The third proportional to 187,930.13 and 405,415.13 is: 874,587.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,930.13 : 405,415.13 = 405,415.13 : x
  2. Step 2: Convert to fraction form
    187,930.13/405,415.13 = 405,415.13/x
  3. Step 3: Cross multiply
    187,930.13x = 405,415.13 × 405,415.13
  4. Step 4: Simplify right side
    187,930.13x = 164,361,423,578.77
  5. Step 5: Solve for x
    x = 164,361,423,578.77/187,930.13
  6. Step 6: Final answer
    x = 874,587.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.