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Finding the Third Proportional to 147,748.50 and 215,163

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Solution

The third proportional to 147,748.50 and 215,163 is: 313,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,748.50 : 215,163 = 215,163 : x
  2. Step 2: Convert to fraction form
    147,748.50/215,163 = 215,163/x
  3. Step 3: Cross multiply
    147,748.50x = 215,163 × 215,163
  4. Step 4: Simplify right side
    147,748.50x = 46,295,116,569
  5. Step 5: Solve for x
    x = 46,295,116,569/147,748.50
  6. Step 6: Final answer
    x = 313,337.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.