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Finding the Third Proportional to 178,034 and 237,813

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Solution

The third proportional to 178,034 and 237,813 is: 317,664.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,034 : 237,813 = 237,813 : x
  2. Step 2: Convert to fraction form
    178,034/237,813 = 237,813/x
  3. Step 3: Cross multiply
    178,034x = 237,813 × 237,813
  4. Step 4: Simplify right side
    178,034x = 56,555,022,969
  5. Step 5: Solve for x
    x = 56,555,022,969/178,034
  6. Step 6: Final answer
    x = 317,664.17

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.