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Finding the Third Proportional to 197,535 and 313,798.50

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Solution

The third proportional to 197,535 and 313,798.50 is: 498,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,535 : 313,798.50 = 313,798.50 : x
  2. Step 2: Convert to fraction form
    197,535/313,798.50 = 313,798.50/x
  3. Step 3: Cross multiply
    197,535x = 313,798.50 × 313,798.50
  4. Step 4: Simplify right side
    197,535x = 98,469,498,602.25
  5. Step 5: Solve for x
    x = 98,469,498,602.25/197,535
  6. Step 6: Final answer
    x = 498,491.40

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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.