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Finding the Third Proportional to 217,445 and 306,210

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Solution

The third proportional to 217,445 and 306,210 is: 431,210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,445 : 306,210 = 306,210 : x
  2. Step 2: Convert to fraction form
    217,445/306,210 = 306,210/x
  3. Step 3: Cross multiply
    217,445x = 306,210 × 306,210
  4. Step 4: Simplify right side
    217,445x = 93,764,564,100
  5. Step 5: Solve for x
    x = 93,764,564,100/217,445
  6. Step 6: Final answer
    x = 431,210.49

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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.