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Finding the Third Proportional to 195,560 and 470,957

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Solution

The third proportional to 195,560 and 470,957 is: 1,134,181.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,560 : 470,957 = 470,957 : x
  2. Step 2: Convert to fraction form
    195,560/470,957 = 470,957/x
  3. Step 3: Cross multiply
    195,560x = 470,957 × 470,957
  4. Step 4: Simplify right side
    195,560x = 221,800,495,849
  5. Step 5: Solve for x
    x = 221,800,495,849/195,560
  6. Step 6: Final answer
    x = 1,134,181.30

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.