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Finding the Third Proportional to 157,729.50 and 346,999.88

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Solution

The third proportional to 157,729.50 and 346,999.88 is: 763,388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,729.50 : 346,999.88 = 346,999.88 : x
  2. Step 2: Convert to fraction form
    157,729.50/346,999.88 = 346,999.88/x
  3. Step 3: Cross multiply
    157,729.50x = 346,999.88 × 346,999.88
  4. Step 4: Simplify right side
    157,729.50x = 120,408,913,250.02
  5. Step 5: Solve for x
    x = 120,408,913,250.02/157,729.50
  6. Step 6: Final answer
    x = 763,388.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.