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Finding the Third Proportional to 192,929 and 417,050

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Solution

The third proportional to 192,929 and 417,050 is: 901,527.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,929 : 417,050 = 417,050 : x
  2. Step 2: Convert to fraction form
    192,929/417,050 = 417,050/x
  3. Step 3: Cross multiply
    192,929x = 417,050 × 417,050
  4. Step 4: Simplify right side
    192,929x = 173,930,702,500
  5. Step 5: Solve for x
    x = 173,930,702,500/192,929
  6. Step 6: Final answer
    x = 901,527.00

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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.