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Finding the Third Proportional to 155,768 and 244,032

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Solution

The third proportional to 155,768 and 244,032 is: 382,309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,768 : 244,032 = 244,032 : x
  2. Step 2: Convert to fraction form
    155,768/244,032 = 244,032/x
  3. Step 3: Cross multiply
    155,768x = 244,032 × 244,032
  4. Step 4: Simplify right side
    155,768x = 59,551,617,024
  5. Step 5: Solve for x
    x = 59,551,617,024/155,768
  6. Step 6: Final answer
    x = 382,309.70

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.