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Finding the Third Proportional to 236,914.50 and 559,273.50

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Solution

The third proportional to 236,914.50 and 559,273.50 is: 1,320,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,914.50 : 559,273.50 = 559,273.50 : x
  2. Step 2: Convert to fraction form
    236,914.50/559,273.50 = 559,273.50/x
  3. Step 3: Cross multiply
    236,914.50x = 559,273.50 × 559,273.50
  4. Step 4: Simplify right side
    236,914.50x = 312,786,847,802.25
  5. Step 5: Solve for x
    x = 312,786,847,802.25/236,914.50
  6. Step 6: Final answer
    x = 1,320,252.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.