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Finding the Third Proportional to 139,850 and 301,813

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Solution

The third proportional to 139,850 and 301,813 is: 651,348.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,850 : 301,813 = 301,813 : x
  2. Step 2: Convert to fraction form
    139,850/301,813 = 301,813/x
  3. Step 3: Cross multiply
    139,850x = 301,813 × 301,813
  4. Step 4: Simplify right side
    139,850x = 91,091,086,969
  5. Step 5: Solve for x
    x = 91,091,086,969/139,850
  6. Step 6: Final answer
    x = 651,348.49

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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.