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Finding the Third Proportional to 153,181.13 and 355,957.03

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Solution

The third proportional to 153,181.13 and 355,957.03 is: 827,160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,181.13 : 355,957.03 = 355,957.03 : x
  2. Step 2: Convert to fraction form
    153,181.13/355,957.03 = 355,957.03/x
  3. Step 3: Cross multiply
    153,181.13x = 355,957.03 × 355,957.03
  4. Step 4: Simplify right side
    153,181.13x = 126,705,408,096.31
  5. Step 5: Solve for x
    x = 126,705,408,096.31/153,181.13
  6. Step 6: Final answer
    x = 827,160.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.