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Finding the Third Proportional to 187,156.13 and 405,840.38

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Solution

The third proportional to 187,156.13 and 405,840.38 is: 880,048.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,156.13 : 405,840.38 = 405,840.38 : x
  2. Step 2: Convert to fraction form
    187,156.13/405,840.38 = 405,840.38/x
  3. Step 3: Cross multiply
    187,156.13x = 405,840.38 × 405,840.38
  4. Step 4: Simplify right side
    187,156.13x = 164,706,409,980.14
  5. Step 5: Solve for x
    x = 164,706,409,980.14/187,156.13
  6. Step 6: Final answer
    x = 880,048.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.