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Finding the Third Proportional to 163,085.59 and 337,358.20

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Solution

The third proportional to 163,085.59 and 337,358.20 is: 697,857.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,085.59 : 337,358.20 = 337,358.20 : x
  2. Step 2: Convert to fraction form
    163,085.59/337,358.20 = 337,358.20/x
  3. Step 3: Cross multiply
    163,085.59x = 337,358.20 × 337,358.20
  4. Step 4: Simplify right side
    163,085.59x = 113,810,553,262.31
  5. Step 5: Solve for x
    x = 113,810,553,262.31/163,085.59
  6. Step 6: Final answer
    x = 697,857.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.