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Finding the Third Proportional to 179,476.59 and 277,868.81

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Solution

The third proportional to 179,476.59 and 277,868.81 is: 430,201.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,476.59 : 277,868.81 = 277,868.81 : x
  2. Step 2: Convert to fraction form
    179,476.59/277,868.81 = 277,868.81/x
  3. Step 3: Cross multiply
    179,476.59x = 277,868.81 × 277,868.81
  4. Step 4: Simplify right side
    179,476.59x = 77,211,076,960.16
  5. Step 5: Solve for x
    x = 77,211,076,960.16/179,476.59
  6. Step 6: Final answer
    x = 430,201.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.