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Finding the Third Proportional to 200,888 and 295,284

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Solution

The third proportional to 200,888 and 295,284 is: 434,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,888 : 295,284 = 295,284 : x
  2. Step 2: Convert to fraction form
    200,888/295,284 = 295,284/x
  3. Step 3: Cross multiply
    200,888x = 295,284 × 295,284
  4. Step 4: Simplify right side
    200,888x = 87,192,640,656
  5. Step 5: Solve for x
    x = 87,192,640,656/200,888
  6. Step 6: Final answer
    x = 434,036.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.