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Finding the Third Proportional to 123,235.50 and 198,406.50

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Solution

The third proportional to 123,235.50 and 198,406.50 is: 319,430.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,235.50 : 198,406.50 = 198,406.50 : x
  2. Step 2: Convert to fraction form
    123,235.50/198,406.50 = 198,406.50/x
  3. Step 3: Cross multiply
    123,235.50x = 198,406.50 × 198,406.50
  4. Step 4: Simplify right side
    123,235.50x = 39,365,139,242.25
  5. Step 5: Solve for x
    x = 39,365,139,242.25/123,235.50
  6. Step 6: Final answer
    x = 319,430.19

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.