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Finding the Third Proportional to 197,702.25 and 306,384.75

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Solution

The third proportional to 197,702.25 and 306,384.75 is: 474,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,702.25 : 306,384.75 = 306,384.75 : x
  2. Step 2: Convert to fraction form
    197,702.25/306,384.75 = 306,384.75/x
  3. Step 3: Cross multiply
    197,702.25x = 306,384.75 × 306,384.75
  4. Step 4: Simplify right side
    197,702.25x = 93,871,615,032.56
  5. Step 5: Solve for x
    x = 93,871,615,032.56/197,702.25
  6. Step 6: Final answer
    x = 474,813.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.