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Finding the Third Proportional to 151,564.50 and 231,950.25

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Solution

The third proportional to 151,564.50 and 231,950.25 is: 354,970.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,564.50 : 231,950.25 = 231,950.25 : x
  2. Step 2: Convert to fraction form
    151,564.50/231,950.25 = 231,950.25/x
  3. Step 3: Cross multiply
    151,564.50x = 231,950.25 × 231,950.25
  4. Step 4: Simplify right side
    151,564.50x = 53,800,918,475.06
  5. Step 5: Solve for x
    x = 53,800,918,475.06/151,564.50
  6. Step 6: Final answer
    x = 354,970.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.