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Finding the Third Proportional to 117,082 and 256,928

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Solution

The third proportional to 117,082 and 256,928 is: 563,809.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,082 : 256,928 = 256,928 : x
  2. Step 2: Convert to fraction form
    117,082/256,928 = 256,928/x
  3. Step 3: Cross multiply
    117,082x = 256,928 × 256,928
  4. Step 4: Simplify right side
    117,082x = 66,011,997,184
  5. Step 5: Solve for x
    x = 66,011,997,184/117,082
  6. Step 6: Final answer
    x = 563,809.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.