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Finding the Third Proportional to 144,540 and 316,296

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Solution

The third proportional to 144,540 and 316,296 is: 692,148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,540 : 316,296 = 316,296 : x
  2. Step 2: Convert to fraction form
    144,540/316,296 = 316,296/x
  3. Step 3: Cross multiply
    144,540x = 316,296 × 316,296
  4. Step 4: Simplify right side
    144,540x = 100,043,159,616
  5. Step 5: Solve for x
    x = 100,043,159,616/144,540
  6. Step 6: Final answer
    x = 692,148.61

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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.