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Finding the Third Proportional to 203,051 and 297,649

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Solution

The third proportional to 203,051 and 297,649 is: 436,318.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,051 : 297,649 = 297,649 : x
  2. Step 2: Convert to fraction form
    203,051/297,649 = 297,649/x
  3. Step 3: Cross multiply
    203,051x = 297,649 × 297,649
  4. Step 4: Simplify right side
    203,051x = 88,594,927,201
  5. Step 5: Solve for x
    x = 88,594,927,201/203,051
  6. Step 6: Final answer
    x = 436,318.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.