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Finding the Third Proportional to 139,030 and 299,704

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Solution

The third proportional to 139,030 and 299,704 is: 646,065.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,030 : 299,704 = 299,704 : x
  2. Step 2: Convert to fraction form
    139,030/299,704 = 299,704/x
  3. Step 3: Cross multiply
    139,030x = 299,704 × 299,704
  4. Step 4: Simplify right side
    139,030x = 89,822,487,616
  5. Step 5: Solve for x
    x = 89,822,487,616/139,030
  6. Step 6: Final answer
    x = 646,065.51

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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.