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Finding the Third Proportional to 156,952.69 and 227,774.53

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Solution

The third proportional to 156,952.69 and 227,774.53 is: 330,553.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,952.69 : 227,774.53 = 227,774.53 : x
  2. Step 2: Convert to fraction form
    156,952.69/227,774.53 = 227,774.53/x
  3. Step 3: Cross multiply
    156,952.69x = 227,774.53 × 227,774.53
  4. Step 4: Simplify right side
    156,952.69x = 51,881,237,086.16
  5. Step 5: Solve for x
    x = 51,881,237,086.16/156,952.69
  6. Step 6: Final answer
    x = 330,553.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.