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Finding the Third Proportional to 178,140 and 276,066

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Solution

The third proportional to 178,140 and 276,066 is: 427,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,140 : 276,066 = 276,066 : x
  2. Step 2: Convert to fraction form
    178,140/276,066 = 276,066/x
  3. Step 3: Cross multiply
    178,140x = 276,066 × 276,066
  4. Step 4: Simplify right side
    178,140x = 76,212,436,356
  5. Step 5: Solve for x
    x = 76,212,436,356/178,140
  6. Step 6: Final answer
    x = 427,823.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.