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Finding the Third Proportional to 194,759.44 and 293,420.81

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Solution

The third proportional to 194,759.44 and 293,420.81 is: 442,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,759.44 : 293,420.81 = 293,420.81 : x
  2. Step 2: Convert to fraction form
    194,759.44/293,420.81 = 293,420.81/x
  3. Step 3: Cross multiply
    194,759.44x = 293,420.81 × 293,420.81
  4. Step 4: Simplify right side
    194,759.44x = 86,095,773,208.16
  5. Step 5: Solve for x
    x = 86,095,773,208.16/194,759.44
  6. Step 6: Final answer
    x = 442,062.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.