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Finding the Third Proportional to 846.38 and 1,335.38

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Solution

The third proportional to 846.38 and 1,335.38 is: 2,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.38 : 1,335.38 = 1,335.38 : x
  2. Step 2: Convert to fraction form
    846.38/1,335.38 = 1,335.38/x
  3. Step 3: Cross multiply
    846.38x = 1,335.38 × 1,335.38
  4. Step 4: Simplify right side
    846.38x = 1,783,226.39
  5. Step 5: Solve for x
    x = 1,783,226.39/846.38
  6. Step 6: Final answer
    x = 2,106.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.