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Finding the Third Proportional to 215,976 and 319,713

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Solution

The third proportional to 215,976 and 319,713 is: 473,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,976 : 319,713 = 319,713 : x
  2. Step 2: Convert to fraction form
    215,976/319,713 = 319,713/x
  3. Step 3: Cross multiply
    215,976x = 319,713 × 319,713
  4. Step 4: Simplify right side
    215,976x = 102,216,402,369
  5. Step 5: Solve for x
    x = 102,216,402,369/215,976
  6. Step 6: Final answer
    x = 473,276.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.