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Finding the Third Proportional to 169,274 and 360,480

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Solution

The third proportional to 169,274 and 360,480 is: 767,665.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,274 : 360,480 = 360,480 : x
  2. Step 2: Convert to fraction form
    169,274/360,480 = 360,480/x
  3. Step 3: Cross multiply
    169,274x = 360,480 × 360,480
  4. Step 4: Simplify right side
    169,274x = 129,945,830,400
  5. Step 5: Solve for x
    x = 129,945,830,400/169,274
  6. Step 6: Final answer
    x = 767,665.62

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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.