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Finding the Third Proportional to 204,693.75 and 293,106.94

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Solution

The third proportional to 204,693.75 and 293,106.94 is: 419,708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,693.75 : 293,106.94 = 293,106.94 : x
  2. Step 2: Convert to fraction form
    204,693.75/293,106.94 = 293,106.94/x
  3. Step 3: Cross multiply
    204,693.75x = 293,106.94 × 293,106.94
  4. Step 4: Simplify right side
    204,693.75x = 85,911,676,810.63
  5. Step 5: Solve for x
    x = 85,911,676,810.63/204,693.75
  6. Step 6: Final answer
    x = 419,708.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.