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Finding the Third Proportional to 139,516 and 302,816

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Solution

The third proportional to 139,516 and 302,816 is: 657,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,516 : 302,816 = 302,816 : x
  2. Step 2: Convert to fraction form
    139,516/302,816 = 302,816/x
  3. Step 3: Cross multiply
    139,516x = 302,816 × 302,816
  4. Step 4: Simplify right side
    139,516x = 91,697,529,856
  5. Step 5: Solve for x
    x = 91,697,529,856/139,516
  6. Step 6: Final answer
    x = 657,254.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.