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Finding the Third Proportional to 295.13 and 609.38

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Solution

The third proportional to 295.13 and 609.38 is: 1,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.13 : 609.38 = 609.38 : x
  2. Step 2: Convert to fraction form
    295.13/609.38 = 609.38/x
  3. Step 3: Cross multiply
    295.13x = 609.38 × 609.38
  4. Step 4: Simplify right side
    295.13x = 371,337.89
  5. Step 5: Solve for x
    x = 371,337.89/295.13
  6. Step 6: Final answer
    x = 1,258.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.