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Finding the Third Proportional to 229,578.75 and 361,975.50

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Solution

The third proportional to 229,578.75 and 361,975.50 is: 570,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,578.75 : 361,975.50 = 361,975.50 : x
  2. Step 2: Convert to fraction form
    229,578.75/361,975.50 = 361,975.50/x
  3. Step 3: Cross multiply
    229,578.75x = 361,975.50 × 361,975.50
  4. Step 4: Simplify right side
    229,578.75x = 131,026,262,600.25
  5. Step 5: Solve for x
    x = 131,026,262,600.25/229,578.75
  6. Step 6: Final answer
    x = 570,724.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.