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Finding the Third Proportional to 200,738.25 and 293,567.63

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Solution

The third proportional to 200,738.25 and 293,567.63 is: 429,325.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,738.25 : 293,567.63 = 293,567.63 : x
  2. Step 2: Convert to fraction form
    200,738.25/293,567.63 = 293,567.63/x
  3. Step 3: Cross multiply
    200,738.25x = 293,567.63 × 293,567.63
  4. Step 4: Simplify right side
    200,738.25x = 86,181,950,448.14
  5. Step 5: Solve for x
    x = 86,181,950,448.14/200,738.25
  6. Step 6: Final answer
    x = 429,325.01

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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.