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Finding the Third Proportional to 155,830 and 241,764

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Solution

The third proportional to 155,830 and 241,764 is: 375,087.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,830 : 241,764 = 241,764 : x
  2. Step 2: Convert to fraction form
    155,830/241,764 = 241,764/x
  3. Step 3: Cross multiply
    155,830x = 241,764 × 241,764
  4. Step 4: Simplify right side
    155,830x = 58,449,831,696
  5. Step 5: Solve for x
    x = 58,449,831,696/155,830
  6. Step 6: Final answer
    x = 375,087.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.