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Finding the Third Proportional to 195,776 and 427,072

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Solution

The third proportional to 195,776 and 427,072 is: 931,628.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,776 : 427,072 = 427,072 : x
  2. Step 2: Convert to fraction form
    195,776/427,072 = 427,072/x
  3. Step 3: Cross multiply
    195,776x = 427,072 × 427,072
  4. Step 4: Simplify right side
    195,776x = 182,390,493,184
  5. Step 5: Solve for x
    x = 182,390,493,184/195,776
  6. Step 6: Final answer
    x = 931,628.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.