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Finding the Third Proportional to 197,413 and 313,975.50

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Solution

The third proportional to 197,413 and 313,975.50 is: 499,362.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,413 : 313,975.50 = 313,975.50 : x
  2. Step 2: Convert to fraction form
    197,413/313,975.50 = 313,975.50/x
  3. Step 3: Cross multiply
    197,413x = 313,975.50 × 313,975.50
  4. Step 4: Simplify right side
    197,413x = 98,580,614,600.25
  5. Step 5: Solve for x
    x = 98,580,614,600.25/197,413
  6. Step 6: Final answer
    x = 499,362.32

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Why These Related Problems?

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