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Finding the Third Proportional to 197,806 and 292,362

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Solution

The third proportional to 197,806 and 292,362 is: 432,118.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,806 : 292,362 = 292,362 : x
  2. Step 2: Convert to fraction form
    197,806/292,362 = 292,362/x
  3. Step 3: Cross multiply
    197,806x = 292,362 × 292,362
  4. Step 4: Simplify right side
    197,806x = 85,475,539,044
  5. Step 5: Solve for x
    x = 85,475,539,044/197,806
  6. Step 6: Final answer
    x = 432,118.03

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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.