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Finding the Third Proportional to 200,744 and 293,575

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Solution

The third proportional to 200,744 and 293,575 is: 429,334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,744 : 293,575 = 293,575 : x
  2. Step 2: Convert to fraction form
    200,744/293,575 = 293,575/x
  3. Step 3: Cross multiply
    200,744x = 293,575 × 293,575
  4. Step 4: Simplify right side
    200,744x = 86,186,280,625
  5. Step 5: Solve for x
    x = 86,186,280,625/200,744
  6. Step 6: Final answer
    x = 429,334.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.