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Finding the Third Proportional to 158,218.31 and 341,175.16

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Solution

The third proportional to 158,218.31 and 341,175.16 is: 735,695.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,218.31 : 341,175.16 = 341,175.16 : x
  2. Step 2: Convert to fraction form
    158,218.31/341,175.16 = 341,175.16/x
  3. Step 3: Cross multiply
    158,218.31x = 341,175.16 × 341,175.16
  4. Step 4: Simplify right side
    158,218.31x = 116,400,492,573.07
  5. Step 5: Solve for x
    x = 116,400,492,573.07/158,218.31
  6. Step 6: Final answer
    x = 735,695.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.