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Finding the Third Proportional to 139,516 and 301,496

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Solution

The third proportional to 139,516 and 301,496 is: 651,537.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,516 : 301,496 = 301,496 : x
  2. Step 2: Convert to fraction form
    139,516/301,496 = 301,496/x
  3. Step 3: Cross multiply
    139,516x = 301,496 × 301,496
  4. Step 4: Simplify right side
    139,516x = 90,899,838,016
  5. Step 5: Solve for x
    x = 90,899,838,016/139,516
  6. Step 6: Final answer
    x = 651,537.01

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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.