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Finding the Third Proportional to 139,467 and 304,854

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Solution

The third proportional to 139,467 and 304,854 is: 666,365.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,467 : 304,854 = 304,854 : x
  2. Step 2: Convert to fraction form
    139,467/304,854 = 304,854/x
  3. Step 3: Cross multiply
    139,467x = 304,854 × 304,854
  4. Step 4: Simplify right side
    139,467x = 92,935,961,316
  5. Step 5: Solve for x
    x = 92,935,961,316/139,467
  6. Step 6: Final answer
    x = 666,365.24

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Why These Related Problems?

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