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Finding the Third Proportional to 169,276 and 360,484

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Solution

The third proportional to 169,276 and 360,484 is: 767,673.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,276 : 360,484 = 360,484 : x
  2. Step 2: Convert to fraction form
    169,276/360,484 = 360,484/x
  3. Step 3: Cross multiply
    169,276x = 360,484 × 360,484
  4. Step 4: Simplify right side
    169,276x = 129,948,714,256
  5. Step 5: Solve for x
    x = 129,948,714,256/169,276
  6. Step 6: Final answer
    x = 767,673.59

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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.