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Finding the Third Proportional to 181,413 and 394,312.50

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Solution

The third proportional to 181,413 and 394,312.50 is: 857,062.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,413 : 394,312.50 = 394,312.50 : x
  2. Step 2: Convert to fraction form
    181,413/394,312.50 = 394,312.50/x
  3. Step 3: Cross multiply
    181,413x = 394,312.50 × 394,312.50
  4. Step 4: Simplify right side
    181,413x = 155,482,347,656.25
  5. Step 5: Solve for x
    x = 155,482,347,656.25/181,413
  6. Step 6: Final answer
    x = 857,062.88

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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.