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Finding the Third Proportional to 175,076 and 254,956

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Solution

The third proportional to 175,076 and 254,956 is: 371,281.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,076 : 254,956 = 254,956 : x
  2. Step 2: Convert to fraction form
    175,076/254,956 = 254,956/x
  3. Step 3: Cross multiply
    175,076x = 254,956 × 254,956
  4. Step 4: Simplify right side
    175,076x = 65,002,561,936
  5. Step 5: Solve for x
    x = 65,002,561,936/175,076
  6. Step 6: Final answer
    x = 371,281.97

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.