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Finding the Third Proportional to 145,812 and 238,097

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Solution

The third proportional to 145,812 and 238,097 is: 388,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,812 : 238,097 = 238,097 : x
  2. Step 2: Convert to fraction form
    145,812/238,097 = 238,097/x
  3. Step 3: Cross multiply
    145,812x = 238,097 × 238,097
  4. Step 4: Simplify right side
    145,812x = 56,690,181,409
  5. Step 5: Solve for x
    x = 56,690,181,409/145,812
  6. Step 6: Final answer
    x = 388,789.55

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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.