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Finding the Third Proportional to 144,564 and 313,576

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Solution

The third proportional to 144,564 and 313,576 is: 680,182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,564 : 313,576 = 313,576 : x
  2. Step 2: Convert to fraction form
    144,564/313,576 = 313,576/x
  3. Step 3: Cross multiply
    144,564x = 313,576 × 313,576
  4. Step 4: Simplify right side
    144,564x = 98,329,907,776
  5. Step 5: Solve for x
    x = 98,329,907,776/144,564
  6. Step 6: Final answer
    x = 680,182.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.