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Finding the Third Proportional to 207,197 and 292,458

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Solution

The third proportional to 207,197 and 292,458 is: 412,803.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,197 : 292,458 = 292,458 : x
  2. Step 2: Convert to fraction form
    207,197/292,458 = 292,458/x
  3. Step 3: Cross multiply
    207,197x = 292,458 × 292,458
  4. Step 4: Simplify right side
    207,197x = 85,531,681,764
  5. Step 5: Solve for x
    x = 85,531,681,764/207,197
  6. Step 6: Final answer
    x = 412,803.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.