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Finding the Third Proportional to 154,424 and 232,007

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Solution

The third proportional to 154,424 and 232,007 is: 348,567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,424 : 232,007 = 232,007 : x
  2. Step 2: Convert to fraction form
    154,424/232,007 = 232,007/x
  3. Step 3: Cross multiply
    154,424x = 232,007 × 232,007
  4. Step 4: Simplify right side
    154,424x = 53,827,248,049
  5. Step 5: Solve for x
    x = 53,827,248,049/154,424
  6. Step 6: Final answer
    x = 348,567.89

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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.