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Finding the Third Proportional to 178,352 and 277,052

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Solution

The third proportional to 178,352 and 277,052 is: 430,372.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,352 : 277,052 = 277,052 : x
  2. Step 2: Convert to fraction form
    178,352/277,052 = 277,052/x
  3. Step 3: Cross multiply
    178,352x = 277,052 × 277,052
  4. Step 4: Simplify right side
    178,352x = 76,757,810,704
  5. Step 5: Solve for x
    x = 76,757,810,704/178,352
  6. Step 6: Final answer
    x = 430,372.58

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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.