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Finding the Third Proportional to 174,077 and 234,871

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Solution

The third proportional to 174,077 and 234,871 is: 316,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,077 : 234,871 = 234,871 : x
  2. Step 2: Convert to fraction form
    174,077/234,871 = 234,871/x
  3. Step 3: Cross multiply
    174,077x = 234,871 × 234,871
  4. Step 4: Simplify right side
    174,077x = 55,164,386,641
  5. Step 5: Solve for x
    x = 55,164,386,641/174,077
  6. Step 6: Final answer
    x = 316,896.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.