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Finding the Third Proportional to 158,157 and 341,228

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Solution

The third proportional to 158,157 and 341,228 is: 736,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,157 : 341,228 = 341,228 : x
  2. Step 2: Convert to fraction form
    158,157/341,228 = 341,228/x
  3. Step 3: Cross multiply
    158,157x = 341,228 × 341,228
  4. Step 4: Simplify right side
    158,157x = 116,436,547,984
  5. Step 5: Solve for x
    x = 116,436,547,984/158,157
  6. Step 6: Final answer
    x = 736,208.63

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