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Finding the Third Proportional to 197,112 and 425,116.50

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Solution

The third proportional to 197,112 and 425,116.50 is: 916,859.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,112 : 425,116.50 = 425,116.50 : x
  2. Step 2: Convert to fraction form
    197,112/425,116.50 = 425,116.50/x
  3. Step 3: Cross multiply
    197,112x = 425,116.50 × 425,116.50
  4. Step 4: Simplify right side
    197,112x = 180,724,038,572.25
  5. Step 5: Solve for x
    x = 180,724,038,572.25/197,112
  6. Step 6: Final answer
    x = 916,859.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.