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Finding the Third Proportional to 164,960 and 353,248

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Solution

The third proportional to 164,960 and 353,248 is: 756,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,960 : 353,248 = 353,248 : x
  2. Step 2: Convert to fraction form
    164,960/353,248 = 353,248/x
  3. Step 3: Cross multiply
    164,960x = 353,248 × 353,248
  4. Step 4: Simplify right side
    164,960x = 124,784,149,504
  5. Step 5: Solve for x
    x = 124,784,149,504/164,960
  6. Step 6: Final answer
    x = 756,450.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.