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Finding the Third Proportional to 229,062 and 349,516

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Solution

The third proportional to 229,062 and 349,516 is: 533,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,062 : 349,516 = 349,516 : x
  2. Step 2: Convert to fraction form
    229,062/349,516 = 349,516/x
  3. Step 3: Cross multiply
    229,062x = 349,516 × 349,516
  4. Step 4: Simplify right side
    229,062x = 122,161,434,256
  5. Step 5: Solve for x
    x = 122,161,434,256/229,062
  6. Step 6: Final answer
    x = 533,311.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.