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Finding the Third Proportional to 164,024 and 355,248

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Solution

The third proportional to 164,024 and 355,248 is: 769,406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,024 : 355,248 = 355,248 : x
  2. Step 2: Convert to fraction form
    164,024/355,248 = 355,248/x
  3. Step 3: Cross multiply
    164,024x = 355,248 × 355,248
  4. Step 4: Simplify right side
    164,024x = 126,201,141,504
  5. Step 5: Solve for x
    x = 126,201,141,504/164,024
  6. Step 6: Final answer
    x = 769,406.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.