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Finding the Third Proportional to 164,598 and 384,603

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Solution

The third proportional to 164,598 and 384,603 is: 898,671.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,598 : 384,603 = 384,603 : x
  2. Step 2: Convert to fraction form
    164,598/384,603 = 384,603/x
  3. Step 3: Cross multiply
    164,598x = 384,603 × 384,603
  4. Step 4: Simplify right side
    164,598x = 147,919,467,609
  5. Step 5: Solve for x
    x = 147,919,467,609/164,598
  6. Step 6: Final answer
    x = 898,671.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.