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Finding the Third Proportional to 144,707 and 312,832

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Solution

The third proportional to 144,707 and 312,832 is: 676,289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,707 : 312,832 = 312,832 : x
  2. Step 2: Convert to fraction form
    144,707/312,832 = 312,832/x
  3. Step 3: Cross multiply
    144,707x = 312,832 × 312,832
  4. Step 4: Simplify right side
    144,707x = 97,863,860,224
  5. Step 5: Solve for x
    x = 97,863,860,224/144,707
  6. Step 6: Final answer
    x = 676,289.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.