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Finding the Third Proportional to 74,008.69 and 178,954.31

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Solution

The third proportional to 74,008.69 and 178,954.31 is: 432,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,008.69 : 178,954.31 = 178,954.31 : x
  2. Step 2: Convert to fraction form
    74,008.69/178,954.31 = 178,954.31/x
  3. Step 3: Cross multiply
    74,008.69x = 178,954.31 × 178,954.31
  4. Step 4: Simplify right side
    74,008.69x = 32,024,645,962.35
  5. Step 5: Solve for x
    x = 32,024,645,962.35/74,008.69
  6. Step 6: Final answer
    x = 432,714.69

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.