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Finding the Third Proportional to 164,859 and 353,040

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Solution

The third proportional to 164,859 and 353,040 is: 756,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,859 : 353,040 = 353,040 : x
  2. Step 2: Convert to fraction form
    164,859/353,040 = 353,040/x
  3. Step 3: Cross multiply
    164,859x = 353,040 × 353,040
  4. Step 4: Simplify right side
    164,859x = 124,637,241,600
  5. Step 5: Solve for x
    x = 124,637,241,600/164,859
  6. Step 6: Final answer
    x = 756,023.28

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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.