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Finding the Third Proportional to 268,528.50 and 376,427.25

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Solution

The third proportional to 268,528.50 and 376,427.25 is: 527,681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,528.50 : 376,427.25 = 376,427.25 : x
  2. Step 2: Convert to fraction form
    268,528.50/376,427.25 = 376,427.25/x
  3. Step 3: Cross multiply
    268,528.50x = 376,427.25 × 376,427.25
  4. Step 4: Simplify right side
    268,528.50x = 141,697,474,542.56
  5. Step 5: Solve for x
    x = 141,697,474,542.56/268,528.50
  6. Step 6: Final answer
    x = 527,681.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.