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Finding the Third Proportional to 204,038 and 310,573

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Solution

The third proportional to 204,038 and 310,573 is: 472,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,038 : 310,573 = 310,573 : x
  2. Step 2: Convert to fraction form
    204,038/310,573 = 310,573/x
  3. Step 3: Cross multiply
    204,038x = 310,573 × 310,573
  4. Step 4: Simplify right side
    204,038x = 96,455,588,329
  5. Step 5: Solve for x
    x = 96,455,588,329/204,038
  6. Step 6: Final answer
    x = 472,733.45

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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.