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Finding the Third Proportional to 164,510 and 353,974

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Solution

The third proportional to 164,510 and 353,974 is: 761,641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,510 : 353,974 = 353,974 : x
  2. Step 2: Convert to fraction form
    164,510/353,974 = 353,974/x
  3. Step 3: Cross multiply
    164,510x = 353,974 × 353,974
  4. Step 4: Simplify right side
    164,510x = 125,297,592,676
  5. Step 5: Solve for x
    x = 125,297,592,676/164,510
  6. Step 6: Final answer
    x = 761,641.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.