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Finding the Third Proportional to 139,658 and 301,456

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Solution

The third proportional to 139,658 and 301,456 is: 650,701.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,658 : 301,456 = 301,456 : x
  2. Step 2: Convert to fraction form
    139,658/301,456 = 301,456/x
  3. Step 3: Cross multiply
    139,658x = 301,456 × 301,456
  4. Step 4: Simplify right side
    139,658x = 90,875,719,936
  5. Step 5: Solve for x
    x = 90,875,719,936/139,658
  6. Step 6: Final answer
    x = 650,701.86

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Why These Related Problems?

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