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Finding the Third Proportional to 118,267.50 and 183,630

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Solution

The third proportional to 118,267.50 and 183,630 is: 285,116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,267.50 : 183,630 = 183,630 : x
  2. Step 2: Convert to fraction form
    118,267.50/183,630 = 183,630/x
  3. Step 3: Cross multiply
    118,267.50x = 183,630 × 183,630
  4. Step 4: Simplify right side
    118,267.50x = 33,719,976,900
  5. Step 5: Solve for x
    x = 33,719,976,900/118,267.50
  6. Step 6: Final answer
    x = 285,116.17

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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.