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Finding the Third Proportional to 169,824 and 362,184

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Solution

The third proportional to 169,824 and 362,184 is: 772,430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,824 : 362,184 = 362,184 : x
  2. Step 2: Convert to fraction form
    169,824/362,184 = 362,184/x
  3. Step 3: Cross multiply
    169,824x = 362,184 × 362,184
  4. Step 4: Simplify right side
    169,824x = 131,177,249,856
  5. Step 5: Solve for x
    x = 131,177,249,856/169,824
  6. Step 6: Final answer
    x = 772,430.57

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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.