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Finding the Third Proportional to 202,392 and 297,027

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Solution

The third proportional to 202,392 and 297,027 is: 435,911.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,392 : 297,027 = 297,027 : x
  2. Step 2: Convert to fraction form
    202,392/297,027 = 297,027/x
  3. Step 3: Cross multiply
    202,392x = 297,027 × 297,027
  4. Step 4: Simplify right side
    202,392x = 88,225,038,729
  5. Step 5: Solve for x
    x = 88,225,038,729/202,392
  6. Step 6: Final answer
    x = 435,911.69

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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.