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Finding the Third Proportional to 163,516 and 346,822

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Solution

The third proportional to 163,516 and 346,822 is: 735,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,516 : 346,822 = 346,822 : x
  2. Step 2: Convert to fraction form
    163,516/346,822 = 346,822/x
  3. Step 3: Cross multiply
    163,516x = 346,822 × 346,822
  4. Step 4: Simplify right side
    163,516x = 120,285,499,684
  5. Step 5: Solve for x
    x = 120,285,499,684/163,516
  6. Step 6: Final answer
    x = 735,619.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.