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Finding the Third Proportional to 74,317 and 158,714

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Solution

The third proportional to 74,317 and 158,714 is: 338,955.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,317 : 158,714 = 158,714 : x
  2. Step 2: Convert to fraction form
    74,317/158,714 = 158,714/x
  3. Step 3: Cross multiply
    74,317x = 158,714 × 158,714
  4. Step 4: Simplify right side
    74,317x = 25,190,133,796
  5. Step 5: Solve for x
    x = 25,190,133,796/74,317
  6. Step 6: Final answer
    x = 338,955.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.