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Finding the Third Proportional to 163,880 and 346,960

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Solution

The third proportional to 163,880 and 346,960 is: 734,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,880 : 346,960 = 346,960 : x
  2. Step 2: Convert to fraction form
    163,880/346,960 = 346,960/x
  3. Step 3: Cross multiply
    163,880x = 346,960 × 346,960
  4. Step 4: Simplify right side
    163,880x = 120,381,241,600
  5. Step 5: Solve for x
    x = 120,381,241,600/163,880
  6. Step 6: Final answer
    x = 734,569.45

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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.