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Finding the Third Proportional to 229,302 and 347,415

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Solution

The third proportional to 229,302 and 347,415 is: 526,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,302 : 347,415 = 347,415 : x
  2. Step 2: Convert to fraction form
    229,302/347,415 = 347,415/x
  3. Step 3: Cross multiply
    229,302x = 347,415 × 347,415
  4. Step 4: Simplify right side
    229,302x = 120,697,182,225
  5. Step 5: Solve for x
    x = 120,697,182,225/229,302
  6. Step 6: Final answer
    x = 526,367.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.