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Finding the Third Proportional to 166,792 and 358,915

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Solution

The third proportional to 166,792 and 358,915 is: 772,339.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,792 : 358,915 = 358,915 : x
  2. Step 2: Convert to fraction form
    166,792/358,915 = 358,915/x
  3. Step 3: Cross multiply
    166,792x = 358,915 × 358,915
  4. Step 4: Simplify right side
    166,792x = 128,819,977,225
  5. Step 5: Solve for x
    x = 128,819,977,225/166,792
  6. Step 6: Final answer
    x = 772,339.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.