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Finding the Third Proportional to 169,273 and 360,478

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Solution

The third proportional to 169,273 and 360,478 is: 767,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,273 : 360,478 = 360,478 : x
  2. Step 2: Convert to fraction form
    169,273/360,478 = 360,478/x
  3. Step 3: Cross multiply
    169,273x = 360,478 × 360,478
  4. Step 4: Simplify right side
    169,273x = 129,944,388,484
  5. Step 5: Solve for x
    x = 129,944,388,484/169,273
  6. Step 6: Final answer
    x = 767,661.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.