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Finding the Third Proportional to 98,258 and 210,328

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Solution

The third proportional to 98,258 and 210,328 is: 450,221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,258 : 210,328 = 210,328 : x
  2. Step 2: Convert to fraction form
    98,258/210,328 = 210,328/x
  3. Step 3: Cross multiply
    98,258x = 210,328 × 210,328
  4. Step 4: Simplify right side
    98,258x = 44,237,867,584
  5. Step 5: Solve for x
    x = 44,237,867,584/98,258
  6. Step 6: Final answer
    x = 450,221.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.