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Finding the Third Proportional to 172,258 and 365,366

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Solution

The third proportional to 172,258 and 365,366 is: 774,955.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,258 : 365,366 = 365,366 : x
  2. Step 2: Convert to fraction form
    172,258/365,366 = 365,366/x
  3. Step 3: Cross multiply
    172,258x = 365,366 × 365,366
  4. Step 4: Simplify right side
    172,258x = 133,492,313,956
  5. Step 5: Solve for x
    x = 133,492,313,956/172,258
  6. Step 6: Final answer
    x = 774,955.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.