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Finding the Third Proportional to 168,348 and 360,342

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Solution

The third proportional to 168,348 and 360,342 is: 771,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,348 : 360,342 = 360,342 : x
  2. Step 2: Convert to fraction form
    168,348/360,342 = 360,342/x
  3. Step 3: Cross multiply
    168,348x = 360,342 × 360,342
  4. Step 4: Simplify right side
    168,348x = 129,846,356,964
  5. Step 5: Solve for x
    x = 129,846,356,964/168,348
  6. Step 6: Final answer
    x = 771,297.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.