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Finding the Third Proportional to 237,925.69 and 515,055.38

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Solution

The third proportional to 237,925.69 and 515,055.38 is: 1,114,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,925.69 : 515,055.38 = 515,055.38 : x
  2. Step 2: Convert to fraction form
    237,925.69/515,055.38 = 515,055.38/x
  3. Step 3: Cross multiply
    237,925.69x = 515,055.38 × 515,055.38
  4. Step 4: Simplify right side
    237,925.69x = 265,282,039,316.39
  5. Step 5: Solve for x
    x = 265,282,039,316.39/237,925.69
  6. Step 6: Final answer
    x = 1,114,978.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.