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Finding the Third Proportional to 130,827 and 191,566.50

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Solution

The third proportional to 130,827 and 191,566.50 is: 280,505.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,827 : 191,566.50 = 191,566.50 : x
  2. Step 2: Convert to fraction form
    130,827/191,566.50 = 191,566.50/x
  3. Step 3: Cross multiply
    130,827x = 191,566.50 × 191,566.50
  4. Step 4: Simplify right side
    130,827x = 36,697,723,922.25
  5. Step 5: Solve for x
    x = 36,697,723,922.25/130,827
  6. Step 6: Final answer
    x = 280,505.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.