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Finding the Third Proportional to 230,388 and 348,801

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Solution

The third proportional to 230,388 and 348,801 is: 528,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,388 : 348,801 = 348,801 : x
  2. Step 2: Convert to fraction form
    230,388/348,801 = 348,801/x
  3. Step 3: Cross multiply
    230,388x = 348,801 × 348,801
  4. Step 4: Simplify right side
    230,388x = 121,662,137,601
  5. Step 5: Solve for x
    x = 121,662,137,601/230,388
  6. Step 6: Final answer
    x = 528,074.98

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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.