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Finding the Third Proportional to 233,815 and 352,301

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Solution

The third proportional to 233,815 and 352,301 is: 530,829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,815 : 352,301 = 352,301 : x
  2. Step 2: Convert to fraction form
    233,815/352,301 = 352,301/x
  3. Step 3: Cross multiply
    233,815x = 352,301 × 352,301
  4. Step 4: Simplify right side
    233,815x = 124,115,994,601
  5. Step 5: Solve for x
    x = 124,115,994,601/233,815
  6. Step 6: Final answer
    x = 530,829.91

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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.