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Finding the Third Proportional to 139,778 and 301,804

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Solution

The third proportional to 139,778 and 301,804 is: 651,645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,778 : 301,804 = 301,804 : x
  2. Step 2: Convert to fraction form
    139,778/301,804 = 301,804/x
  3. Step 3: Cross multiply
    139,778x = 301,804 × 301,804
  4. Step 4: Simplify right side
    139,778x = 91,085,654,416
  5. Step 5: Solve for x
    x = 91,085,654,416/139,778
  6. Step 6: Final answer
    x = 651,645.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.