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Finding the Third Proportional to 154,420 and 232,001

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Solution

The third proportional to 154,420 and 232,001 is: 348,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,420 : 232,001 = 232,001 : x
  2. Step 2: Convert to fraction form
    154,420/232,001 = 232,001/x
  3. Step 3: Cross multiply
    154,420x = 232,001 × 232,001
  4. Step 4: Simplify right side
    154,420x = 53,824,464,001
  5. Step 5: Solve for x
    x = 53,824,464,001/154,420
  6. Step 6: Final answer
    x = 348,558.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.