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Finding the Third Proportional to 164,146.50 and 352,812.38

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Solution

The third proportional to 164,146.50 and 352,812.38 is: 758,326.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,146.50 : 352,812.38 = 352,812.38 : x
  2. Step 2: Convert to fraction form
    164,146.50/352,812.38 = 352,812.38/x
  3. Step 3: Cross multiply
    164,146.50x = 352,812.38 × 352,812.38
  4. Step 4: Simplify right side
    164,146.50x = 124,476,571,953.14
  5. Step 5: Solve for x
    x = 124,476,571,953.14/164,146.50
  6. Step 6: Final answer
    x = 758,326.08

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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.