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Finding the Third Proportional to 200,477.53 and 264,995.30

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Solution

The third proportional to 200,477.53 and 264,995.30 is: 350,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,477.53 : 264,995.30 = 264,995.30 : x
  2. Step 2: Convert to fraction form
    200,477.53/264,995.30 = 264,995.30/x
  3. Step 3: Cross multiply
    200,477.53x = 264,995.30 × 264,995.30
  4. Step 4: Simplify right side
    200,477.53x = 70,222,507,365.87
  5. Step 5: Solve for x
    x = 70,222,507,365.87/200,477.53
  6. Step 6: Final answer
    x = 350,276.20

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.