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Finding the Third Proportional to 169,184 and 360,320

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Solution

The third proportional to 169,184 and 360,320 is: 767,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,184 : 360,320 = 360,320 : x
  2. Step 2: Convert to fraction form
    169,184/360,320 = 360,320/x
  3. Step 3: Cross multiply
    169,184x = 360,320 × 360,320
  4. Step 4: Simplify right side
    169,184x = 129,830,502,400
  5. Step 5: Solve for x
    x = 129,830,502,400/169,184
  6. Step 6: Final answer
    x = 767,392.32

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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.