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Finding the Third Proportional to 235,206 and 347,265

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Solution

The third proportional to 235,206 and 347,265 is: 512,712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,206 : 347,265 = 347,265 : x
  2. Step 2: Convert to fraction form
    235,206/347,265 = 347,265/x
  3. Step 3: Cross multiply
    235,206x = 347,265 × 347,265
  4. Step 4: Simplify right side
    235,206x = 120,592,980,225
  5. Step 5: Solve for x
    x = 120,592,980,225/235,206
  6. Step 6: Final answer
    x = 512,712.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.