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Finding the Third Proportional to 243,171 and 363,784.50

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Solution

The third proportional to 243,171 and 363,784.50 is: 544,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,171 : 363,784.50 = 363,784.50 : x
  2. Step 2: Convert to fraction form
    243,171/363,784.50 = 363,784.50/x
  3. Step 3: Cross multiply
    243,171x = 363,784.50 × 363,784.50
  4. Step 4: Simplify right side
    243,171x = 132,339,162,440.25
  5. Step 5: Solve for x
    x = 132,339,162,440.25/243,171
  6. Step 6: Final answer
    x = 544,222.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.