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Finding the Third Proportional to 215,492 and 341,054

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Solution

The third proportional to 215,492 and 341,054 is: 539,777.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,492 : 341,054 = 341,054 : x
  2. Step 2: Convert to fraction form
    215,492/341,054 = 341,054/x
  3. Step 3: Cross multiply
    215,492x = 341,054 × 341,054
  4. Step 4: Simplify right side
    215,492x = 116,317,830,916
  5. Step 5: Solve for x
    x = 116,317,830,916/215,492
  6. Step 6: Final answer
    x = 539,777.95

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.