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Finding the Third Proportional to 155,448 and 338,266.50

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Solution

The third proportional to 155,448 and 338,266.50 is: 736,093.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,448 : 338,266.50 = 338,266.50 : x
  2. Step 2: Convert to fraction form
    155,448/338,266.50 = 338,266.50/x
  3. Step 3: Cross multiply
    155,448x = 338,266.50 × 338,266.50
  4. Step 4: Simplify right side
    155,448x = 114,424,225,022.25
  5. Step 5: Solve for x
    x = 114,424,225,022.25/155,448
  6. Step 6: Final answer
    x = 736,093.26

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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.