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Finding the Third Proportional to 139,023 and 223,844

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Solution

The third proportional to 139,023 and 223,844 is: 360,416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,023 : 223,844 = 223,844 : x
  2. Step 2: Convert to fraction form
    139,023/223,844 = 223,844/x
  3. Step 3: Cross multiply
    139,023x = 223,844 × 223,844
  4. Step 4: Simplify right side
    139,023x = 50,106,136,336
  5. Step 5: Solve for x
    x = 50,106,136,336/139,023
  6. Step 6: Final answer
    x = 360,416.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.