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Finding the Third Proportional to 204,297 and 317,070

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Solution

The third proportional to 204,297 and 317,070 is: 492,094.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,297 : 317,070 = 317,070 : x
  2. Step 2: Convert to fraction form
    204,297/317,070 = 317,070/x
  3. Step 3: Cross multiply
    204,297x = 317,070 × 317,070
  4. Step 4: Simplify right side
    204,297x = 100,533,384,900
  5. Step 5: Solve for x
    x = 100,533,384,900/204,297
  6. Step 6: Final answer
    x = 492,094.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.