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Finding the Third Proportional to 123,532.50 and 269,369

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Solution

The third proportional to 123,532.50 and 269,369 is: 587,373.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,532.50 : 269,369 = 269,369 : x
  2. Step 2: Convert to fraction form
    123,532.50/269,369 = 269,369/x
  3. Step 3: Cross multiply
    123,532.50x = 269,369 × 269,369
  4. Step 4: Simplify right side
    123,532.50x = 72,559,658,161
  5. Step 5: Solve for x
    x = 72,559,658,161/123,532.50
  6. Step 6: Final answer
    x = 587,373.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.