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Finding the Third Proportional to 130,495.50 and 198,477

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Solution

The third proportional to 130,495.50 and 198,477 is: 301,873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,495.50 : 198,477 = 198,477 : x
  2. Step 2: Convert to fraction form
    130,495.50/198,477 = 198,477/x
  3. Step 3: Cross multiply
    130,495.50x = 198,477 × 198,477
  4. Step 4: Simplify right side
    130,495.50x = 39,393,119,529
  5. Step 5: Solve for x
    x = 39,393,119,529/130,495.50
  6. Step 6: Final answer
    x = 301,873.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.