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Finding the Third Proportional to 164,850 and 353,022

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Solution

The third proportional to 164,850 and 353,022 is: 755,987.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,850 : 353,022 = 353,022 : x
  2. Step 2: Convert to fraction form
    164,850/353,022 = 353,022/x
  3. Step 3: Cross multiply
    164,850x = 353,022 × 353,022
  4. Step 4: Simplify right side
    164,850x = 124,624,532,484
  5. Step 5: Solve for x
    x = 124,624,532,484/164,850
  6. Step 6: Final answer
    x = 755,987.46

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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.