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Finding the Third Proportional to 193,482 and 298,975.50

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Solution

The third proportional to 193,482 and 298,975.50 is: 461,987.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,482 : 298,975.50 = 298,975.50 : x
  2. Step 2: Convert to fraction form
    193,482/298,975.50 = 298,975.50/x
  3. Step 3: Cross multiply
    193,482x = 298,975.50 × 298,975.50
  4. Step 4: Simplify right side
    193,482x = 89,386,349,600.25
  5. Step 5: Solve for x
    x = 89,386,349,600.25/193,482
  6. Step 6: Final answer
    x = 461,987.93

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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.