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Finding the Third Proportional to 147,902.50 and 323,791.75

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Solution

The third proportional to 147,902.50 and 323,791.75 is: 708,852.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,902.50 : 323,791.75 = 323,791.75 : x
  2. Step 2: Convert to fraction form
    147,902.50/323,791.75 = 323,791.75/x
  3. Step 3: Cross multiply
    147,902.50x = 323,791.75 × 323,791.75
  4. Step 4: Simplify right side
    147,902.50x = 104,841,097,368.06
  5. Step 5: Solve for x
    x = 104,841,097,368.06/147,902.50
  6. Step 6: Final answer
    x = 708,852.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.