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Finding the Third Proportional to 197,644 and 291,246

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Solution

The third proportional to 197,644 and 291,246 is: 429,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,644 : 291,246 = 291,246 : x
  2. Step 2: Convert to fraction form
    197,644/291,246 = 291,246/x
  3. Step 3: Cross multiply
    197,644x = 291,246 × 291,246
  4. Step 4: Simplify right side
    197,644x = 84,824,232,516
  5. Step 5: Solve for x
    x = 84,824,232,516/197,644
  6. Step 6: Final answer
    x = 429,176.87

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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.