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Finding the Third Proportional to 140,830 and 313,146

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Solution

The third proportional to 140,830 and 313,146 is: 696,303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,830 : 313,146 = 313,146 : x
  2. Step 2: Convert to fraction form
    140,830/313,146 = 313,146/x
  3. Step 3: Cross multiply
    140,830x = 313,146 × 313,146
  4. Step 4: Simplify right side
    140,830x = 98,060,417,316
  5. Step 5: Solve for x
    x = 98,060,417,316/140,830
  6. Step 6: Final answer
    x = 696,303.47

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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.