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Finding the Third Proportional to 139,148 and 297,973

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Solution

The third proportional to 139,148 and 297,973 is: 638,082.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,148 : 297,973 = 297,973 : x
  2. Step 2: Convert to fraction form
    139,148/297,973 = 297,973/x
  3. Step 3: Cross multiply
    139,148x = 297,973 × 297,973
  4. Step 4: Simplify right side
    139,148x = 88,787,908,729
  5. Step 5: Solve for x
    x = 88,787,908,729/139,148
  6. Step 6: Final answer
    x = 638,082.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.