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Finding the Third Proportional to 231,624 and 349,896

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Solution

The third proportional to 231,624 and 349,896 is: 528,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,624 : 349,896 = 349,896 : x
  2. Step 2: Convert to fraction form
    231,624/349,896 = 349,896/x
  3. Step 3: Cross multiply
    231,624x = 349,896 × 349,896
  4. Step 4: Simplify right side
    231,624x = 122,427,210,816
  5. Step 5: Solve for x
    x = 122,427,210,816/231,624
  6. Step 6: Final answer
    x = 528,560.13

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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.