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Finding the Third Proportional to 233,055 and 352,732.50

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Solution

The third proportional to 233,055 and 352,732.50 is: 533,866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,055 : 352,732.50 = 352,732.50 : x
  2. Step 2: Convert to fraction form
    233,055/352,732.50 = 352,732.50/x
  3. Step 3: Cross multiply
    233,055x = 352,732.50 × 352,732.50
  4. Step 4: Simplify right side
    233,055x = 124,420,216,556.25
  5. Step 5: Solve for x
    x = 124,420,216,556.25/233,055
  6. Step 6: Final answer
    x = 533,866.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.