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Finding the Third Proportional to 117,480 and 176,256

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Solution

The third proportional to 117,480 and 176,256 is: 264,438.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,480 : 176,256 = 176,256 : x
  2. Step 2: Convert to fraction form
    117,480/176,256 = 176,256/x
  3. Step 3: Cross multiply
    117,480x = 176,256 × 176,256
  4. Step 4: Simplify right side
    117,480x = 31,066,177,536
  5. Step 5: Solve for x
    x = 31,066,177,536/117,480
  6. Step 6: Final answer
    x = 264,438.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.