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Finding the Third Proportional to 217,460 and 306,232

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Solution

The third proportional to 217,460 and 306,232 is: 431,242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,460 : 306,232 = 306,232 : x
  2. Step 2: Convert to fraction form
    217,460/306,232 = 306,232/x
  3. Step 3: Cross multiply
    217,460x = 306,232 × 306,232
  4. Step 4: Simplify right side
    217,460x = 93,778,037,824
  5. Step 5: Solve for x
    x = 93,778,037,824/217,460
  6. Step 6: Final answer
    x = 431,242.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.