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Finding the Third Proportional to 152,529.50 and 231,904

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Solution

The third proportional to 152,529.50 and 231,904 is: 352,584.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,529.50 : 231,904 = 231,904 : x
  2. Step 2: Convert to fraction form
    152,529.50/231,904 = 231,904/x
  3. Step 3: Cross multiply
    152,529.50x = 231,904 × 231,904
  4. Step 4: Simplify right side
    152,529.50x = 53,779,465,216
  5. Step 5: Solve for x
    x = 53,779,465,216/152,529.50
  6. Step 6: Final answer
    x = 352,584.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.