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Finding the Third Proportional to 164,484 and 351,135

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Solution

The third proportional to 164,484 and 351,135 is: 749,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,484 : 351,135 = 351,135 : x
  2. Step 2: Convert to fraction form
    164,484/351,135 = 351,135/x
  3. Step 3: Cross multiply
    164,484x = 351,135 × 351,135
  4. Step 4: Simplify right side
    164,484x = 123,295,788,225
  5. Step 5: Solve for x
    x = 123,295,788,225/164,484
  6. Step 6: Final answer
    x = 749,591.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.