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Finding the Third Proportional to 195,607 and 417,050

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Solution

The third proportional to 195,607 and 417,050 is: 889,184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,607 : 417,050 = 417,050 : x
  2. Step 2: Convert to fraction form
    195,607/417,050 = 417,050/x
  3. Step 3: Cross multiply
    195,607x = 417,050 × 417,050
  4. Step 4: Simplify right side
    195,607x = 173,930,702,500
  5. Step 5: Solve for x
    x = 173,930,702,500/195,607
  6. Step 6: Final answer
    x = 889,184.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.