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Finding the Third Proportional to 200,487 and 265,008

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Solution

The third proportional to 200,487 and 265,008 is: 350,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,487 : 265,008 = 265,008 : x
  2. Step 2: Convert to fraction form
    200,487/265,008 = 265,008/x
  3. Step 3: Cross multiply
    200,487x = 265,008 × 265,008
  4. Step 4: Simplify right side
    200,487x = 70,229,240,064
  5. Step 5: Solve for x
    x = 70,229,240,064/200,487
  6. Step 6: Final answer
    x = 350,293.24

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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.