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Finding the Third Proportional to 134,088 and 277,454

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Solution

The third proportional to 134,088 and 277,454 is: 574,105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,088 : 277,454 = 277,454 : x
  2. Step 2: Convert to fraction form
    134,088/277,454 = 277,454/x
  3. Step 3: Cross multiply
    134,088x = 277,454 × 277,454
  4. Step 4: Simplify right side
    134,088x = 76,980,722,116
  5. Step 5: Solve for x
    x = 76,980,722,116/134,088
  6. Step 6: Final answer
    x = 574,105.98

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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.