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Finding the Third Proportional to 200,034 and 472,195.50

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Solution

The third proportional to 200,034 and 472,195.50 is: 1,114,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,034 : 472,195.50 = 472,195.50 : x
  2. Step 2: Convert to fraction form
    200,034/472,195.50 = 472,195.50/x
  3. Step 3: Cross multiply
    200,034x = 472,195.50 × 472,195.50
  4. Step 4: Simplify right side
    200,034x = 222,968,590,220.25
  5. Step 5: Solve for x
    x = 222,968,590,220.25/200,034
  6. Step 6: Final answer
    x = 1,114,653.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.