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Finding the Third Proportional to 170,821.13 and 373,819.50

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Solution

The third proportional to 170,821.13 and 373,819.50 is: 818,054.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,821.13 : 373,819.50 = 373,819.50 : x
  2. Step 2: Convert to fraction form
    170,821.13/373,819.50 = 373,819.50/x
  3. Step 3: Cross multiply
    170,821.13x = 373,819.50 × 373,819.50
  4. Step 4: Simplify right side
    170,821.13x = 139,741,018,580.25
  5. Step 5: Solve for x
    x = 139,741,018,580.25/170,821.13
  6. Step 6: Final answer
    x = 818,054.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.