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Finding the Third Proportional to 191,647.50 and 416,853

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Solution

The third proportional to 191,647.50 and 416,853 is: 906,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,647.50 : 416,853 = 416,853 : x
  2. Step 2: Convert to fraction form
    191,647.50/416,853 = 416,853/x
  3. Step 3: Cross multiply
    191,647.50x = 416,853 × 416,853
  4. Step 4: Simplify right side
    191,647.50x = 173,766,423,609
  5. Step 5: Solve for x
    x = 173,766,423,609/191,647.50
  6. Step 6: Final answer
    x = 906,698.10

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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.