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Finding the Third Proportional to 144,076.88 and 316,179

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Solution

The third proportional to 144,076.88 and 316,179 is: 693,859.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,076.88 : 316,179 = 316,179 : x
  2. Step 2: Convert to fraction form
    144,076.88/316,179 = 316,179/x
  3. Step 3: Cross multiply
    144,076.88x = 316,179 × 316,179
  4. Step 4: Simplify right side
    144,076.88x = 99,969,160,041
  5. Step 5: Solve for x
    x = 99,969,160,041/144,076.88
  6. Step 6: Final answer
    x = 693,859.86

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Why These Related Problems?

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