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Finding the Third Proportional to 191,577.50 and 416,317

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Solution

The third proportional to 191,577.50 and 416,317 is: 904,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,577.50 : 416,317 = 416,317 : x
  2. Step 2: Convert to fraction form
    191,577.50/416,317 = 416,317/x
  3. Step 3: Cross multiply
    191,577.50x = 416,317 × 416,317
  4. Step 4: Simplify right side
    191,577.50x = 173,319,844,489
  5. Step 5: Solve for x
    x = 173,319,844,489/191,577.50
  6. Step 6: Final answer
    x = 904,698.33

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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.