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Finding the Third Proportional to 169,335.56 and 262,341.28

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Solution

The third proportional to 169,335.56 and 262,341.28 is: 406,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,335.56 : 262,341.28 = 262,341.28 : x
  2. Step 2: Convert to fraction form
    169,335.56/262,341.28 = 262,341.28/x
  3. Step 3: Cross multiply
    169,335.56x = 262,341.28 × 262,341.28
  4. Step 4: Simplify right side
    169,335.56x = 68,822,947,847.89
  5. Step 5: Solve for x
    x = 68,822,947,847.89/169,335.56
  6. Step 6: Final answer
    x = 406,429.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.