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Finding the Third Proportional to 158,184 and 340,560

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Solution

The third proportional to 158,184 and 340,560 is: 733,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,184 : 340,560 = 340,560 : x
  2. Step 2: Convert to fraction form
    158,184/340,560 = 340,560/x
  3. Step 3: Cross multiply
    158,184x = 340,560 × 340,560
  4. Step 4: Simplify right side
    158,184x = 115,981,113,600
  5. Step 5: Solve for x
    x = 115,981,113,600/158,184
  6. Step 6: Final answer
    x = 733,203.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.