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Finding the Third Proportional to 148,533.75 and 206,276.63

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Solution

The third proportional to 148,533.75 and 206,276.63 is: 286,467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,533.75 : 206,276.63 = 206,276.63 : x
  2. Step 2: Convert to fraction form
    148,533.75/206,276.63 = 206,276.63/x
  3. Step 3: Cross multiply
    148,533.75x = 206,276.63 × 206,276.63
  4. Step 4: Simplify right side
    148,533.75x = 42,550,046,021.39
  5. Step 5: Solve for x
    x = 42,550,046,021.39/148,533.75
  6. Step 6: Final answer
    x = 286,467.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.