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Finding the Third Proportional to 197,838 and 292,410

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Solution

The third proportional to 197,838 and 292,410 is: 432,190.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,838 : 292,410 = 292,410 : x
  2. Step 2: Convert to fraction form
    197,838/292,410 = 292,410/x
  3. Step 3: Cross multiply
    197,838x = 292,410 × 292,410
  4. Step 4: Simplify right side
    197,838x = 85,503,608,100
  5. Step 5: Solve for x
    x = 85,503,608,100/197,838
  6. Step 6: Final answer
    x = 432,190.01

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.