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Finding the Third Proportional to 160,913.25 and 225,073.50

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Solution

The third proportional to 160,913.25 and 225,073.50 is: 314,816.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,913.25 : 225,073.50 = 225,073.50 : x
  2. Step 2: Convert to fraction form
    160,913.25/225,073.50 = 225,073.50/x
  3. Step 3: Cross multiply
    160,913.25x = 225,073.50 × 225,073.50
  4. Step 4: Simplify right side
    160,913.25x = 50,658,080,402.25
  5. Step 5: Solve for x
    x = 50,658,080,402.25/160,913.25
  6. Step 6: Final answer
    x = 314,816.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.