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Finding the Third Proportional to 195,903.56 and 312,801.75

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Solution

The third proportional to 195,903.56 and 312,801.75 is: 499,454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,903.56 : 312,801.75 = 312,801.75 : x
  2. Step 2: Convert to fraction form
    195,903.56/312,801.75 = 312,801.75/x
  3. Step 3: Cross multiply
    195,903.56x = 312,801.75 × 312,801.75
  4. Step 4: Simplify right side
    195,903.56x = 97,844,934,803.06
  5. Step 5: Solve for x
    x = 97,844,934,803.06/195,903.56
  6. Step 6: Final answer
    x = 499,454.60

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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.