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Finding the Third Proportional to 116,033 and 253,201

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Solution

The third proportional to 116,033 and 253,201 is: 552,521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,033 : 253,201 = 253,201 : x
  2. Step 2: Convert to fraction form
    116,033/253,201 = 253,201/x
  3. Step 3: Cross multiply
    116,033x = 253,201 × 253,201
  4. Step 4: Simplify right side
    116,033x = 64,110,746,401
  5. Step 5: Solve for x
    x = 64,110,746,401/116,033
  6. Step 6: Final answer
    x = 552,521.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.