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Finding the Third Proportional to 145,786 and 238,055

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Solution

The third proportional to 145,786 and 238,055 is: 388,721.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,786 : 238,055 = 238,055 : x
  2. Step 2: Convert to fraction form
    145,786/238,055 = 238,055/x
  3. Step 3: Cross multiply
    145,786x = 238,055 × 238,055
  4. Step 4: Simplify right side
    145,786x = 56,670,183,025
  5. Step 5: Solve for x
    x = 56,670,183,025/145,786
  6. Step 6: Final answer
    x = 388,721.71

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.