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Finding the Third Proportional to 226,066 and 349,492

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Solution

The third proportional to 226,066 and 349,492 is: 540,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,066 : 349,492 = 349,492 : x
  2. Step 2: Convert to fraction form
    226,066/349,492 = 349,492/x
  3. Step 3: Cross multiply
    226,066x = 349,492 × 349,492
  4. Step 4: Simplify right side
    226,066x = 122,144,658,064
  5. Step 5: Solve for x
    x = 122,144,658,064/226,066
  6. Step 6: Final answer
    x = 540,305.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.