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Finding the Third Proportional to 149,125.88 and 225,860.63

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Solution

The third proportional to 149,125.88 and 225,860.63 is: 342,080.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,125.88 : 225,860.63 = 225,860.63 : x
  2. Step 2: Convert to fraction form
    149,125.88/225,860.63 = 225,860.63/x
  3. Step 3: Cross multiply
    149,125.88x = 225,860.63 × 225,860.63
  4. Step 4: Simplify right side
    149,125.88x = 51,013,021,925.39
  5. Step 5: Solve for x
    x = 51,013,021,925.39/149,125.88
  6. Step 6: Final answer
    x = 342,080.29

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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.