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Finding the Third Proportional to 123,403.50 and 266,004

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Solution

The third proportional to 123,403.50 and 266,004 is: 573,388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,403.50 : 266,004 = 266,004 : x
  2. Step 2: Convert to fraction form
    123,403.50/266,004 = 266,004/x
  3. Step 3: Cross multiply
    123,403.50x = 266,004 × 266,004
  4. Step 4: Simplify right side
    123,403.50x = 70,758,128,016
  5. Step 5: Solve for x
    x = 70,758,128,016/123,403.50
  6. Step 6: Final answer
    x = 573,388.34

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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.