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Finding the Third Proportional to 164,364 and 349,911

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Solution

The third proportional to 164,364 and 349,911 is: 744,918.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,364 : 349,911 = 349,911 : x
  2. Step 2: Convert to fraction form
    164,364/349,911 = 349,911/x
  3. Step 3: Cross multiply
    164,364x = 349,911 × 349,911
  4. Step 4: Simplify right side
    164,364x = 122,437,707,921
  5. Step 5: Solve for x
    x = 122,437,707,921/164,364
  6. Step 6: Final answer
    x = 744,918.04

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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.