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Finding the Third Proportional to 116,404.88 and 180,307.13

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Solution

The third proportional to 116,404.88 and 180,307.13 is: 279,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,404.88 : 180,307.13 = 180,307.13 : x
  2. Step 2: Convert to fraction form
    116,404.88/180,307.13 = 180,307.13/x
  3. Step 3: Cross multiply
    116,404.88x = 180,307.13 × 180,307.13
  4. Step 4: Simplify right side
    116,404.88x = 32,510,659,325.77
  5. Step 5: Solve for x
    x = 32,510,659,325.77/116,404.88
  6. Step 6: Final answer
    x = 279,289.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.