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Finding the Third Proportional to 235,453 and 352,239

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Solution

The third proportional to 235,453 and 352,239 is: 526,951.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,453 : 352,239 = 352,239 : x
  2. Step 2: Convert to fraction form
    235,453/352,239 = 352,239/x
  3. Step 3: Cross multiply
    235,453x = 352,239 × 352,239
  4. Step 4: Simplify right side
    235,453x = 124,072,313,121
  5. Step 5: Solve for x
    x = 124,072,313,121/235,453
  6. Step 6: Final answer
    x = 526,951.51

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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.