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Finding the Third Proportional to 164,554.66 and 261,821.11

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Solution

The third proportional to 164,554.66 and 261,821.11 is: 416,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,554.66 : 261,821.11 = 261,821.11 : x
  2. Step 2: Convert to fraction form
    164,554.66/261,821.11 = 261,821.11/x
  3. Step 3: Cross multiply
    164,554.66x = 261,821.11 × 261,821.11
  4. Step 4: Simplify right side
    164,554.66x = 68,550,293,314.36
  5. Step 5: Solve for x
    x = 68,550,293,314.36/164,554.66
  6. Step 6: Final answer
    x = 416,580.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.