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Finding the Third Proportional to 187,854.19 and 416,221.03

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Solution

The third proportional to 187,854.19 and 416,221.03 is: 922,204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,854.19 : 416,221.03 = 416,221.03 : x
  2. Step 2: Convert to fraction form
    187,854.19/416,221.03 = 416,221.03/x
  3. Step 3: Cross multiply
    187,854.19x = 416,221.03 × 416,221.03
  4. Step 4: Simplify right side
    187,854.19x = 173,239,946,854.81
  5. Step 5: Solve for x
    x = 173,239,946,854.81/187,854.19
  6. Step 6: Final answer
    x = 922,204.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.