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Finding the Third Proportional to 156,021.61 and 234,036.14

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Solution

The third proportional to 156,021.61 and 234,036.14 is: 351,059.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,021.61 : 234,036.14 = 234,036.14 : x
  2. Step 2: Convert to fraction form
    156,021.61/234,036.14 = 234,036.14/x
  3. Step 3: Cross multiply
    156,021.61x = 234,036.14 × 234,036.14
  4. Step 4: Simplify right side
    156,021.61x = 54,772,915,118.64
  5. Step 5: Solve for x
    x = 54,772,915,118.64/156,021.61
  6. Step 6: Final answer
    x = 351,059.80

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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.