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Finding the Third Proportional to 191,565 and 416,319.75

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Solution

The third proportional to 191,565 and 416,319.75 is: 904,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,565 : 416,319.75 = 416,319.75 : x
  2. Step 2: Convert to fraction form
    191,565/416,319.75 = 416,319.75/x
  3. Step 3: Cross multiply
    191,565x = 416,319.75 × 416,319.75
  4. Step 4: Simplify right side
    191,565x = 173,322,134,240.06
  5. Step 5: Solve for x
    x = 173,322,134,240.06/191,565
  6. Step 6: Final answer
    x = 904,769.32

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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.