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Finding the Third Proportional to 164,459 and 359,354

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Solution

The third proportional to 164,459 and 359,354 is: 785,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,459 : 359,354 = 359,354 : x
  2. Step 2: Convert to fraction form
    164,459/359,354 = 359,354/x
  3. Step 3: Cross multiply
    164,459x = 359,354 × 359,354
  4. Step 4: Simplify right side
    164,459x = 129,135,297,316
  5. Step 5: Solve for x
    x = 129,135,297,316/164,459
  6. Step 6: Final answer
    x = 785,212.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.