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Finding the Third Proportional to 235,564.50 and 365,253

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Solution

The third proportional to 235,564.50 and 365,253 is: 566,340.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,564.50 : 365,253 = 365,253 : x
  2. Step 2: Convert to fraction form
    235,564.50/365,253 = 365,253/x
  3. Step 3: Cross multiply
    235,564.50x = 365,253 × 365,253
  4. Step 4: Simplify right side
    235,564.50x = 133,409,754,009
  5. Step 5: Solve for x
    x = 133,409,754,009/235,564.50
  6. Step 6: Final answer
    x = 566,340.66

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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.