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Finding the Third Proportional to 178,334 and 277,023

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Solution

The third proportional to 178,334 and 277,023 is: 430,325.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,334 : 277,023 = 277,023 : x
  2. Step 2: Convert to fraction form
    178,334/277,023 = 277,023/x
  3. Step 3: Cross multiply
    178,334x = 277,023 × 277,023
  4. Step 4: Simplify right side
    178,334x = 76,741,742,529
  5. Step 5: Solve for x
    x = 76,741,742,529/178,334
  6. Step 6: Final answer
    x = 430,325.92

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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.