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Finding the Third Proportional to 237,522.75 and 356,595.75

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Solution

The third proportional to 237,522.75 and 356,595.75 is: 535,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,522.75 : 356,595.75 = 356,595.75 : x
  2. Step 2: Convert to fraction form
    237,522.75/356,595.75 = 356,595.75/x
  3. Step 3: Cross multiply
    237,522.75x = 356,595.75 × 356,595.75
  4. Step 4: Simplify right side
    237,522.75x = 127,160,528,918.06
  5. Step 5: Solve for x
    x = 127,160,528,918.06/237,522.75
  6. Step 6: Final answer
    x = 535,361.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.