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Finding the Third Proportional to 77,330 and 162,956

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Solution

The third proportional to 77,330 and 162,956 is: 343,394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,330 : 162,956 = 162,956 : x
  2. Step 2: Convert to fraction form
    77,330/162,956 = 162,956/x
  3. Step 3: Cross multiply
    77,330x = 162,956 × 162,956
  4. Step 4: Simplify right side
    77,330x = 26,554,657,936
  5. Step 5: Solve for x
    x = 26,554,657,936/77,330
  6. Step 6: Final answer
    x = 343,394.00

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.