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Finding the Third Proportional to 144,943 and 311,321

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Solution

The third proportional to 144,943 and 311,321 is: 668,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,943 : 311,321 = 311,321 : x
  2. Step 2: Convert to fraction form
    144,943/311,321 = 311,321/x
  3. Step 3: Cross multiply
    144,943x = 311,321 × 311,321
  4. Step 4: Simplify right side
    144,943x = 96,920,765,041
  5. Step 5: Solve for x
    x = 96,920,765,041/144,943
  6. Step 6: Final answer
    x = 668,681.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.