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Finding the Third Proportional to 169,113.50 and 352,218.50

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Solution

The third proportional to 169,113.50 and 352,218.50 is: 733,577.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,113.50 : 352,218.50 = 352,218.50 : x
  2. Step 2: Convert to fraction form
    169,113.50/352,218.50 = 352,218.50/x
  3. Step 3: Cross multiply
    169,113.50x = 352,218.50 × 352,218.50
  4. Step 4: Simplify right side
    169,113.50x = 124,057,871,742.25
  5. Step 5: Solve for x
    x = 124,057,871,742.25/169,113.50
  6. Step 6: Final answer
    x = 733,577.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.