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Finding the Third Proportional to 152,552.25 and 236,209.50

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Solution

The third proportional to 152,552.25 and 236,209.50 is: 365,743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,552.25 : 236,209.50 = 236,209.50 : x
  2. Step 2: Convert to fraction form
    152,552.25/236,209.50 = 236,209.50/x
  3. Step 3: Cross multiply
    152,552.25x = 236,209.50 × 236,209.50
  4. Step 4: Simplify right side
    152,552.25x = 55,794,927,890.25
  5. Step 5: Solve for x
    x = 55,794,927,890.25/152,552.25
  6. Step 6: Final answer
    x = 365,743.07

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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.