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Finding the Third Proportional to 195,776 and 422,656

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Solution

The third proportional to 195,776 and 422,656 is: 912,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,776 : 422,656 = 422,656 : x
  2. Step 2: Convert to fraction form
    195,776/422,656 = 422,656/x
  3. Step 3: Cross multiply
    195,776x = 422,656 × 422,656
  4. Step 4: Simplify right side
    195,776x = 178,638,094,336
  5. Step 5: Solve for x
    x = 178,638,094,336/195,776
  6. Step 6: Final answer
    x = 912,461.66

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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.