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Finding the Third Proportional to 141,258.38 and 304,923.38

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Solution

The third proportional to 141,258.38 and 304,923.38 is: 658,214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,258.38 : 304,923.38 = 304,923.38 : x
  2. Step 2: Convert to fraction form
    141,258.38/304,923.38 = 304,923.38/x
  3. Step 3: Cross multiply
    141,258.38x = 304,923.38 × 304,923.38
  4. Step 4: Simplify right side
    141,258.38x = 92,978,264,621.39
  5. Step 5: Solve for x
    x = 92,978,264,621.39/141,258.38
  6. Step 6: Final answer
    x = 658,214.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.