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Finding the Third Proportional to 197,931 and 298,588.50

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Solution

The third proportional to 197,931 and 298,588.50 is: 450,435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,931 : 298,588.50 = 298,588.50 : x
  2. Step 2: Convert to fraction form
    197,931/298,588.50 = 298,588.50/x
  3. Step 3: Cross multiply
    197,931x = 298,588.50 × 298,588.50
  4. Step 4: Simplify right side
    197,931x = 89,155,092,332.25
  5. Step 5: Solve for x
    x = 89,155,092,332.25/197,931
  6. Step 6: Final answer
    x = 450,435.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.