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Finding the Third Proportional to 152,673 and 336,342

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Solution

The third proportional to 152,673 and 336,342 is: 740,968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,673 : 336,342 = 336,342 : x
  2. Step 2: Convert to fraction form
    152,673/336,342 = 336,342/x
  3. Step 3: Cross multiply
    152,673x = 336,342 × 336,342
  4. Step 4: Simplify right side
    152,673x = 113,125,940,964
  5. Step 5: Solve for x
    x = 113,125,940,964/152,673
  6. Step 6: Final answer
    x = 740,968.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.