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Finding the Third Proportional to 134,082 and 277,442

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Solution

The third proportional to 134,082 and 277,442 is: 574,082.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,082 : 277,442 = 277,442 : x
  2. Step 2: Convert to fraction form
    134,082/277,442 = 277,442/x
  3. Step 3: Cross multiply
    134,082x = 277,442 × 277,442
  4. Step 4: Simplify right side
    134,082x = 76,974,063,364
  5. Step 5: Solve for x
    x = 76,974,063,364/134,082
  6. Step 6: Final answer
    x = 574,082.00

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.