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Finding the Third Proportional to 164,864 and 353,050

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Solution

The third proportional to 164,864 and 353,050 is: 756,043.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,864 : 353,050 = 353,050 : x
  2. Step 2: Convert to fraction form
    164,864/353,050 = 353,050/x
  3. Step 3: Cross multiply
    164,864x = 353,050 × 353,050
  4. Step 4: Simplify right side
    164,864x = 124,644,302,500
  5. Step 5: Solve for x
    x = 124,644,302,500/164,864
  6. Step 6: Final answer
    x = 756,043.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.