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Finding the Third Proportional to 144,602 and 313,342

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Solution

The third proportional to 144,602 and 313,342 is: 678,989.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,602 : 313,342 = 313,342 : x
  2. Step 2: Convert to fraction form
    144,602/313,342 = 313,342/x
  3. Step 3: Cross multiply
    144,602x = 313,342 × 313,342
  4. Step 4: Simplify right side
    144,602x = 98,183,208,964
  5. Step 5: Solve for x
    x = 98,183,208,964/144,602
  6. Step 6: Final answer
    x = 678,989.29

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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.