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Finding the Third Proportional to 187,784 and 405,058

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Solution

The third proportional to 187,784 and 405,058 is: 873,727.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,784 : 405,058 = 405,058 : x
  2. Step 2: Convert to fraction form
    187,784/405,058 = 405,058/x
  3. Step 3: Cross multiply
    187,784x = 405,058 × 405,058
  4. Step 4: Simplify right side
    187,784x = 164,071,983,364
  5. Step 5: Solve for x
    x = 164,071,983,364/187,784
  6. Step 6: Final answer
    x = 873,727.17

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Why These Related Problems?

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