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Finding the Third Proportional to 199,688 and 436,348

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Solution

The third proportional to 199,688 and 436,348 is: 953,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,688 : 436,348 = 436,348 : x
  2. Step 2: Convert to fraction form
    199,688/436,348 = 436,348/x
  3. Step 3: Cross multiply
    199,688x = 436,348 × 436,348
  4. Step 4: Simplify right side
    199,688x = 190,399,577,104
  5. Step 5: Solve for x
    x = 190,399,577,104/199,688
  6. Step 6: Final answer
    x = 953,485.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.