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Finding the Third Proportional to 195,806 and 423,688

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Solution

The third proportional to 195,806 and 423,688 is: 916,782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,806 : 423,688 = 423,688 : x
  2. Step 2: Convert to fraction form
    195,806/423,688 = 423,688/x
  3. Step 3: Cross multiply
    195,806x = 423,688 × 423,688
  4. Step 4: Simplify right side
    195,806x = 179,511,521,344
  5. Step 5: Solve for x
    x = 179,511,521,344/195,806
  6. Step 6: Final answer
    x = 916,782.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.