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Finding the Third Proportional to 264,150 and 401,271.75

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Solution

The third proportional to 264,150 and 401,271.75 is: 609,574.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,150 : 401,271.75 = 401,271.75 : x
  2. Step 2: Convert to fraction form
    264,150/401,271.75 = 401,271.75/x
  3. Step 3: Cross multiply
    264,150x = 401,271.75 × 401,271.75
  4. Step 4: Simplify right side
    264,150x = 161,019,017,348.06
  5. Step 5: Solve for x
    x = 161,019,017,348.06/264,150
  6. Step 6: Final answer
    x = 609,574.17

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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.