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Finding the Third Proportional to 134,730.84 and 211,353.05

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Solution

The third proportional to 134,730.84 and 211,353.05 is: 331,550.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,730.84 : 211,353.05 = 211,353.05 : x
  2. Step 2: Convert to fraction form
    134,730.84/211,353.05 = 211,353.05/x
  3. Step 3: Cross multiply
    134,730.84x = 211,353.05 × 211,353.05
  4. Step 4: Simplify right side
    134,730.84x = 44,670,110,423.35
  5. Step 5: Solve for x
    x = 44,670,110,423.35/134,730.84
  6. Step 6: Final answer
    x = 331,550.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.