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Finding the Third Proportional to 197,386 and 292,677

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Solution

The third proportional to 197,386 and 292,677 is: 433,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,386 : 292,677 = 292,677 : x
  2. Step 2: Convert to fraction form
    197,386/292,677 = 292,677/x
  3. Step 3: Cross multiply
    197,386x = 292,677 × 292,677
  4. Step 4: Simplify right side
    197,386x = 85,659,826,329
  5. Step 5: Solve for x
    x = 85,659,826,329/197,386
  6. Step 6: Final answer
    x = 433,971.13

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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.