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Finding the Third Proportional to 195,270 and 312,559.50

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Solution

The third proportional to 195,270 and 312,559.50 is: 500,299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,270 : 312,559.50 = 312,559.50 : x
  2. Step 2: Convert to fraction form
    195,270/312,559.50 = 312,559.50/x
  3. Step 3: Cross multiply
    195,270x = 312,559.50 × 312,559.50
  4. Step 4: Simplify right side
    195,270x = 97,693,441,040.25
  5. Step 5: Solve for x
    x = 97,693,441,040.25/195,270
  6. Step 6: Final answer
    x = 500,299.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.