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Finding the Third Proportional to 163,598 and 346,059

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Solution

The third proportional to 163,598 and 346,059 is: 732,018.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,598 : 346,059 = 346,059 : x
  2. Step 2: Convert to fraction form
    163,598/346,059 = 346,059/x
  3. Step 3: Cross multiply
    163,598x = 346,059 × 346,059
  4. Step 4: Simplify right side
    163,598x = 119,756,831,481
  5. Step 5: Solve for x
    x = 119,756,831,481/163,598
  6. Step 6: Final answer
    x = 732,018.92

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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.