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Finding the Third Proportional to 140,829 and 313,145

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Solution

The third proportional to 140,829 and 313,145 is: 696,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,829 : 313,145 = 313,145 : x
  2. Step 2: Convert to fraction form
    140,829/313,145 = 313,145/x
  3. Step 3: Cross multiply
    140,829x = 313,145 × 313,145
  4. Step 4: Simplify right side
    140,829x = 98,059,791,025
  5. Step 5: Solve for x
    x = 98,059,791,025/140,829
  6. Step 6: Final answer
    x = 696,303.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.