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Finding the Third Proportional to 160,566.75 and 225,913.50

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Solution

The third proportional to 160,566.75 and 225,913.50 is: 317,854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,566.75 : 225,913.50 = 225,913.50 : x
  2. Step 2: Convert to fraction form
    160,566.75/225,913.50 = 225,913.50/x
  3. Step 3: Cross multiply
    160,566.75x = 225,913.50 × 225,913.50
  4. Step 4: Simplify right side
    160,566.75x = 51,036,909,482.25
  5. Step 5: Solve for x
    x = 51,036,909,482.25/160,566.75
  6. Step 6: Final answer
    x = 317,854.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.