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Finding the Third Proportional to 139,148 and 297,972

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Solution

The third proportional to 139,148 and 297,972 is: 638,078.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,148 : 297,972 = 297,972 : x
  2. Step 2: Convert to fraction form
    139,148/297,972 = 297,972/x
  3. Step 3: Cross multiply
    139,148x = 297,972 × 297,972
  4. Step 4: Simplify right side
    139,148x = 88,787,312,784
  5. Step 5: Solve for x
    x = 88,787,312,784/139,148
  6. Step 6: Final answer
    x = 638,078.25

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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.