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Finding the Third Proportional to 155,610 and 243,850.50

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Solution

The third proportional to 155,610 and 243,850.50 is: 382,128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,610 : 243,850.50 = 243,850.50 : x
  2. Step 2: Convert to fraction form
    155,610/243,850.50 = 243,850.50/x
  3. Step 3: Cross multiply
    155,610x = 243,850.50 × 243,850.50
  4. Step 4: Simplify right side
    155,610x = 59,463,066,350.25
  5. Step 5: Solve for x
    x = 59,463,066,350.25/155,610
  6. Step 6: Final answer
    x = 382,128.82

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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.