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Finding the Third Proportional to 140,870 and 313,237

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Solution

The third proportional to 140,870 and 313,237 is: 696,510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,870 : 313,237 = 313,237 : x
  2. Step 2: Convert to fraction form
    140,870/313,237 = 313,237/x
  3. Step 3: Cross multiply
    140,870x = 313,237 × 313,237
  4. Step 4: Simplify right side
    140,870x = 98,117,418,169
  5. Step 5: Solve for x
    x = 98,117,418,169/140,870
  6. Step 6: Final answer
    x = 696,510.39

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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.