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Finding the Third Proportional to 163,341 and 346,509

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Solution

The third proportional to 163,341 and 346,509 is: 735,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,341 : 346,509 = 346,509 : x
  2. Step 2: Convert to fraction form
    163,341/346,509 = 346,509/x
  3. Step 3: Cross multiply
    163,341x = 346,509 × 346,509
  4. Step 4: Simplify right side
    163,341x = 120,068,487,081
  5. Step 5: Solve for x
    x = 120,068,487,081/163,341
  6. Step 6: Final answer
    x = 735,078.68

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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.