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Finding the Third Proportional to 139,455 and 304,830

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Solution

The third proportional to 139,455 and 304,830 is: 666,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,455 : 304,830 = 304,830 : x
  2. Step 2: Convert to fraction form
    139,455/304,830 = 304,830/x
  3. Step 3: Cross multiply
    139,455x = 304,830 × 304,830
  4. Step 4: Simplify right side
    139,455x = 92,921,328,900
  5. Step 5: Solve for x
    x = 92,921,328,900/139,455
  6. Step 6: Final answer
    x = 666,317.66

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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.