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Finding the Third Proportional to 191,568 and 416,326.50

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Solution

The third proportional to 191,568 and 416,326.50 is: 904,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,568 : 416,326.50 = 416,326.50 : x
  2. Step 2: Convert to fraction form
    191,568/416,326.50 = 416,326.50/x
  3. Step 3: Cross multiply
    191,568x = 416,326.50 × 416,326.50
  4. Step 4: Simplify right side
    191,568x = 173,327,754,602.25
  5. Step 5: Solve for x
    x = 173,327,754,602.25/191,568
  6. Step 6: Final answer
    x = 904,784.49

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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.