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Finding the Third Proportional to 195,779.50 and 311,525.75

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Solution

The third proportional to 195,779.50 and 311,525.75 is: 495,702.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,779.50 : 311,525.75 = 311,525.75 : x
  2. Step 2: Convert to fraction form
    195,779.50/311,525.75 = 311,525.75/x
  3. Step 3: Cross multiply
    195,779.50x = 311,525.75 × 311,525.75
  4. Step 4: Simplify right side
    195,779.50x = 97,048,292,913.06
  5. Step 5: Solve for x
    x = 97,048,292,913.06/195,779.50
  6. Step 6: Final answer
    x = 495,702.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.