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Finding the Third Proportional to 164,830.50 and 250,400.25

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Solution

The third proportional to 164,830.50 and 250,400.25 is: 380,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,830.50 : 250,400.25 = 250,400.25 : x
  2. Step 2: Convert to fraction form
    164,830.50/250,400.25 = 250,400.25/x
  3. Step 3: Cross multiply
    164,830.50x = 250,400.25 × 250,400.25
  4. Step 4: Simplify right side
    164,830.50x = 62,700,285,200.06
  5. Step 5: Solve for x
    x = 62,700,285,200.06/164,830.50
  6. Step 6: Final answer
    x = 380,392.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.