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Finding the Third Proportional to 197,376 and 292,662

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Solution

The third proportional to 197,376 and 292,662 is: 433,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,376 : 292,662 = 292,662 : x
  2. Step 2: Convert to fraction form
    197,376/292,662 = 292,662/x
  3. Step 3: Cross multiply
    197,376x = 292,662 × 292,662
  4. Step 4: Simplify right side
    197,376x = 85,651,046,244
  5. Step 5: Solve for x
    x = 85,651,046,244/197,376
  6. Step 6: Final answer
    x = 433,948.64

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Why These Related Problems?

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