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Finding the Third Proportional to 191,504.25 and 416,572.88

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Solution

The third proportional to 191,504.25 and 416,572.88 is: 906,157.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,504.25 : 416,572.88 = 416,572.88 : x
  2. Step 2: Convert to fraction form
    191,504.25/416,572.88 = 416,572.88/x
  3. Step 3: Cross multiply
    191,504.25x = 416,572.88 × 416,572.88
  4. Step 4: Simplify right side
    191,504.25x = 173,532,960,185.77
  5. Step 5: Solve for x
    x = 173,532,960,185.77/191,504.25
  6. Step 6: Final answer
    x = 906,157.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.