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Finding the Third Proportional to 204,038 and 310,570

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Solution

The third proportional to 204,038 and 310,570 is: 472,724.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,038 : 310,570 = 310,570 : x
  2. Step 2: Convert to fraction form
    204,038/310,570 = 310,570/x
  3. Step 3: Cross multiply
    204,038x = 310,570 × 310,570
  4. Step 4: Simplify right side
    204,038x = 96,453,724,900
  5. Step 5: Solve for x
    x = 96,453,724,900/204,038
  6. Step 6: Final answer
    x = 472,724.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.