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Finding the Third Proportional to 234,043.17 and 352,141.17

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Solution

The third proportional to 234,043.17 and 352,141.17 is: 529,831.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,043.17 : 352,141.17 = 352,141.17 : x
  2. Step 2: Convert to fraction form
    234,043.17/352,141.17 = 352,141.17/x
  3. Step 3: Cross multiply
    234,043.17x = 352,141.17 × 352,141.17
  4. Step 4: Simplify right side
    234,043.17x = 124,003,404,929.50
  5. Step 5: Solve for x
    x = 124,003,404,929.50/234,043.17
  6. Step 6: Final answer
    x = 529,831.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.