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Finding the Third Proportional to 176,114.25 and 380,943

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Solution

The third proportional to 176,114.25 and 380,943 is: 823,996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,114.25 : 380,943 = 380,943 : x
  2. Step 2: Convert to fraction form
    176,114.25/380,943 = 380,943/x
  3. Step 3: Cross multiply
    176,114.25x = 380,943 × 380,943
  4. Step 4: Simplify right side
    176,114.25x = 145,117,569,249
  5. Step 5: Solve for x
    x = 145,117,569,249/176,114.25
  6. Step 6: Final answer
    x = 823,996.75

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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.