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Finding the Third Proportional to 169,256 and 360,248

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Solution

The third proportional to 169,256 and 360,248 is: 766,759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,256 : 360,248 = 360,248 : x
  2. Step 2: Convert to fraction form
    169,256/360,248 = 360,248/x
  3. Step 3: Cross multiply
    169,256x = 360,248 × 360,248
  4. Step 4: Simplify right side
    169,256x = 129,778,621,504
  5. Step 5: Solve for x
    x = 129,778,621,504/169,256
  6. Step 6: Final answer
    x = 766,759.36

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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.