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Finding the Third Proportional to 169,128 and 360,774

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Solution

The third proportional to 169,128 and 360,774 is: 769,582.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,128 : 360,774 = 360,774 : x
  2. Step 2: Convert to fraction form
    169,128/360,774 = 360,774/x
  3. Step 3: Cross multiply
    169,128x = 360,774 × 360,774
  4. Step 4: Simplify right side
    169,128x = 130,157,879,076
  5. Step 5: Solve for x
    x = 130,157,879,076/169,128
  6. Step 6: Final answer
    x = 769,582.09

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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.