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Finding the Third Proportional to 187,151.34 and 405,831.52

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Solution

The third proportional to 187,151.34 and 405,831.52 is: 880,032.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,151.34 : 405,831.52 = 405,831.52 : x
  2. Step 2: Convert to fraction form
    187,151.34/405,831.52 = 405,831.52/x
  3. Step 3: Cross multiply
    187,151.34x = 405,831.52 × 405,831.52
  4. Step 4: Simplify right side
    187,151.34x = 164,699,219,074.49
  5. Step 5: Solve for x
    x = 164,699,219,074.49/187,151.34
  6. Step 6: Final answer
    x = 880,032.26

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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.