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Finding the Third Proportional to 236,673.75 and 516,715.50

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Solution

The third proportional to 236,673.75 and 516,715.50 is: 1,128,113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,673.75 : 516,715.50 = 516,715.50 : x
  2. Step 2: Convert to fraction form
    236,673.75/516,715.50 = 516,715.50/x
  3. Step 3: Cross multiply
    236,673.75x = 516,715.50 × 516,715.50
  4. Step 4: Simplify right side
    236,673.75x = 266,994,907,940.25
  5. Step 5: Solve for x
    x = 266,994,907,940.25/236,673.75
  6. Step 6: Final answer
    x = 1,128,113.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.