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Finding the Third Proportional to 144,392.50 and 316,685

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Solution

The third proportional to 144,392.50 and 316,685 is: 694,560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,392.50 : 316,685 = 316,685 : x
  2. Step 2: Convert to fraction form
    144,392.50/316,685 = 316,685/x
  3. Step 3: Cross multiply
    144,392.50x = 316,685 × 316,685
  4. Step 4: Simplify right side
    144,392.50x = 100,289,389,225
  5. Step 5: Solve for x
    x = 100,289,389,225/144,392.50
  6. Step 6: Final answer
    x = 694,560.93

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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.