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Finding the Third Proportional to 164,852 and 353,028

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Solution

The third proportional to 164,852 and 353,028 is: 756,003.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,852 : 353,028 = 353,028 : x
  2. Step 2: Convert to fraction form
    164,852/353,028 = 353,028/x
  3. Step 3: Cross multiply
    164,852x = 353,028 × 353,028
  4. Step 4: Simplify right side
    164,852x = 124,628,768,784
  5. Step 5: Solve for x
    x = 124,628,768,784/164,852
  6. Step 6: Final answer
    x = 756,003.98

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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.