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Finding the Third Proportional to 231,628 and 349,902

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Solution

The third proportional to 231,628 and 349,902 is: 528,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,628 : 349,902 = 349,902 : x
  2. Step 2: Convert to fraction form
    231,628/349,902 = 349,902/x
  3. Step 3: Cross multiply
    231,628x = 349,902 × 349,902
  4. Step 4: Simplify right side
    231,628x = 122,431,409,604
  5. Step 5: Solve for x
    x = 122,431,409,604/231,628
  6. Step 6: Final answer
    x = 528,569.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.