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Finding the Third Proportional to 200,720.06 and 293,544.56

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Solution

The third proportional to 200,720.06 and 293,544.56 is: 429,296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,720.06 : 293,544.56 = 293,544.56 : x
  2. Step 2: Convert to fraction form
    200,720.06/293,544.56 = 293,544.56/x
  3. Step 3: Cross multiply
    200,720.06x = 293,544.56 × 293,544.56
  4. Step 4: Simplify right side
    200,720.06x = 86,168,410,173.32
  5. Step 5: Solve for x
    x = 86,168,410,173.32/200,720.06
  6. Step 6: Final answer
    x = 429,296.45

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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.