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Finding the Third Proportional to 140,780 and 307,804

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Solution

The third proportional to 140,780 and 307,804 is: 672,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,780 : 307,804 = 307,804 : x
  2. Step 2: Convert to fraction form
    140,780/307,804 = 307,804/x
  3. Step 3: Cross multiply
    140,780x = 307,804 × 307,804
  4. Step 4: Simplify right side
    140,780x = 94,743,302,416
  5. Step 5: Solve for x
    x = 94,743,302,416/140,780
  6. Step 6: Final answer
    x = 672,988.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.