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Finding the Third Proportional to 131,930.50 and 257,300

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Solution

The third proportional to 131,930.50 and 257,300 is: 501,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,930.50 : 257,300 = 257,300 : x
  2. Step 2: Convert to fraction form
    131,930.50/257,300 = 257,300/x
  3. Step 3: Cross multiply
    131,930.50x = 257,300 × 257,300
  4. Step 4: Simplify right side
    131,930.50x = 66,203,290,000
  5. Step 5: Solve for x
    x = 66,203,290,000/131,930.50
  6. Step 6: Final answer
    x = 501,804.28

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.