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Finding the Third Proportional to 197,781 and 292,973

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Solution

The third proportional to 197,781 and 292,973 is: 433,980.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,781 : 292,973 = 292,973 : x
  2. Step 2: Convert to fraction form
    197,781/292,973 = 292,973/x
  3. Step 3: Cross multiply
    197,781x = 292,973 × 292,973
  4. Step 4: Simplify right side
    197,781x = 85,833,178,729
  5. Step 5: Solve for x
    x = 85,833,178,729/197,781
  6. Step 6: Final answer
    x = 433,980.91

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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.