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Finding the Third Proportional to 140,629 and 307,970

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Solution

The third proportional to 140,629 and 307,970 is: 674,437.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,629 : 307,970 = 307,970 : x
  2. Step 2: Convert to fraction form
    140,629/307,970 = 307,970/x
  3. Step 3: Cross multiply
    140,629x = 307,970 × 307,970
  4. Step 4: Simplify right side
    140,629x = 94,845,520,900
  5. Step 5: Solve for x
    x = 94,845,520,900/140,629
  6. Step 6: Final answer
    x = 674,437.85

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