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Finding the Third Proportional to 164,845.13 and 348,963.19

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Solution

The third proportional to 164,845.13 and 348,963.19 is: 738,725.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,845.13 : 348,963.19 = 348,963.19 : x
  2. Step 2: Convert to fraction form
    164,845.13/348,963.19 = 348,963.19/x
  3. Step 3: Cross multiply
    164,845.13x = 348,963.19 × 348,963.19
  4. Step 4: Simplify right side
    164,845.13x = 121,775,306,230.16
  5. Step 5: Solve for x
    x = 121,775,306,230.16/164,845.13
  6. Step 6: Final answer
    x = 738,725.55

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.