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Finding the Third Proportional to 197,230.50 and 426,002.50

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Solution

The third proportional to 197,230.50 and 426,002.50 is: 920,132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,230.50 : 426,002.50 = 426,002.50 : x
  2. Step 2: Convert to fraction form
    197,230.50/426,002.50 = 426,002.50/x
  3. Step 3: Cross multiply
    197,230.50x = 426,002.50 × 426,002.50
  4. Step 4: Simplify right side
    197,230.50x = 181,478,130,006.25
  5. Step 5: Solve for x
    x = 181,478,130,006.25/197,230.50
  6. Step 6: Final answer
    x = 920,132.18

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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.