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Finding the Third Proportional to 233,170.50 and 356,519.50

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Solution

The third proportional to 233,170.50 and 356,519.50 is: 545,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,170.50 : 356,519.50 = 356,519.50 : x
  2. Step 2: Convert to fraction form
    233,170.50/356,519.50 = 356,519.50/x
  3. Step 3: Cross multiply
    233,170.50x = 356,519.50 × 356,519.50
  4. Step 4: Simplify right side
    233,170.50x = 127,106,153,880.25
  5. Step 5: Solve for x
    x = 127,106,153,880.25/233,170.50
  6. Step 6: Final answer
    x = 545,121.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.