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Finding the Third Proportional to 169,744.50 and 358,078.50

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Solution

The third proportional to 169,744.50 and 358,078.50 is: 755,371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,744.50 : 358,078.50 = 358,078.50 : x
  2. Step 2: Convert to fraction form
    169,744.50/358,078.50 = 358,078.50/x
  3. Step 3: Cross multiply
    169,744.50x = 358,078.50 × 358,078.50
  4. Step 4: Simplify right side
    169,744.50x = 128,220,212,162.25
  5. Step 5: Solve for x
    x = 128,220,212,162.25/169,744.50
  6. Step 6: Final answer
    x = 755,371.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.