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Finding the Third Proportional to 148,333.50 and 230,107.50

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Solution

The third proportional to 148,333.50 and 230,107.50 is: 356,962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,333.50 : 230,107.50 = 230,107.50 : x
  2. Step 2: Convert to fraction form
    148,333.50/230,107.50 = 230,107.50/x
  3. Step 3: Cross multiply
    148,333.50x = 230,107.50 × 230,107.50
  4. Step 4: Simplify right side
    148,333.50x = 52,949,461,556.25
  5. Step 5: Solve for x
    x = 52,949,461,556.25/148,333.50
  6. Step 6: Final answer
    x = 356,962.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.