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Finding the Third Proportional to 164,220 and 352,996

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Solution

The third proportional to 164,220 and 352,996 is: 758,775.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,220 : 352,996 = 352,996 : x
  2. Step 2: Convert to fraction form
    164,220/352,996 = 352,996/x
  3. Step 3: Cross multiply
    164,220x = 352,996 × 352,996
  4. Step 4: Simplify right side
    164,220x = 124,606,176,016
  5. Step 5: Solve for x
    x = 124,606,176,016/164,220
  6. Step 6: Final answer
    x = 758,775.89

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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.