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Finding the Third Proportional to 152,232.22 and 212,829.71

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Solution

The third proportional to 152,232.22 and 212,829.71 is: 297,548.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,232.22 : 212,829.71 = 212,829.71 : x
  2. Step 2: Convert to fraction form
    152,232.22/212,829.71 = 212,829.71/x
  3. Step 3: Cross multiply
    152,232.22x = 212,829.71 × 212,829.71
  4. Step 4: Simplify right side
    152,232.22x = 45,296,487,520.47
  5. Step 5: Solve for x
    x = 45,296,487,520.47/152,232.22
  6. Step 6: Final answer
    x = 297,548.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.