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Finding the Third Proportional to 264,156.75 and 401,280.75

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Solution

The third proportional to 264,156.75 and 401,280.75 is: 609,585.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,156.75 : 401,280.75 = 401,280.75 : x
  2. Step 2: Convert to fraction form
    264,156.75/401,280.75 = 401,280.75/x
  3. Step 3: Cross multiply
    264,156.75x = 401,280.75 × 401,280.75
  4. Step 4: Simplify right side
    264,156.75x = 161,026,240,320.56
  5. Step 5: Solve for x
    x = 161,026,240,320.56/264,156.75
  6. Step 6: Final answer
    x = 609,585.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.