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Finding the Third Proportional to 210,386.25 and 295,923.38

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Solution

The third proportional to 210,386.25 and 295,923.38 is: 416,237.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,386.25 : 295,923.38 = 295,923.38 : x
  2. Step 2: Convert to fraction form
    210,386.25/295,923.38 = 295,923.38/x
  3. Step 3: Cross multiply
    210,386.25x = 295,923.38 × 295,923.38
  4. Step 4: Simplify right side
    210,386.25x = 87,570,643,871.39
  5. Step 5: Solve for x
    x = 87,570,643,871.39/210,386.25
  6. Step 6: Final answer
    x = 416,237.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.