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Finding the Third Proportional to 195,768 and 375,980

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Solution

The third proportional to 195,768 and 375,980 is: 722,084.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,768 : 375,980 = 375,980 : x
  2. Step 2: Convert to fraction form
    195,768/375,980 = 375,980/x
  3. Step 3: Cross multiply
    195,768x = 375,980 × 375,980
  4. Step 4: Simplify right side
    195,768x = 141,360,960,400
  5. Step 5: Solve for x
    x = 141,360,960,400/195,768
  6. Step 6: Final answer
    x = 722,084.10

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.