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Finding the Third Proportional to 229,780 and 336,660

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Solution

The third proportional to 229,780 and 336,660 is: 493,254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,780 : 336,660 = 336,660 : x
  2. Step 2: Convert to fraction form
    229,780/336,660 = 336,660/x
  3. Step 3: Cross multiply
    229,780x = 336,660 × 336,660
  4. Step 4: Simplify right side
    229,780x = 113,339,955,600
  5. Step 5: Solve for x
    x = 113,339,955,600/229,780
  6. Step 6: Final answer
    x = 493,254.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.