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Finding the Third Proportional to 222,175 and 317,490

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Solution

The third proportional to 222,175 and 317,490 is: 453,695.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,175 : 317,490 = 317,490 : x
  2. Step 2: Convert to fraction form
    222,175/317,490 = 317,490/x
  3. Step 3: Cross multiply
    222,175x = 317,490 × 317,490
  4. Step 4: Simplify right side
    222,175x = 100,799,900,100
  5. Step 5: Solve for x
    x = 100,799,900,100/222,175
  6. Step 6: Final answer
    x = 453,695.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.