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Finding the Third Proportional to 98,024 and 214,724

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Solution

The third proportional to 98,024 and 214,724 is: 470,358.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,024 : 214,724 = 214,724 : x
  2. Step 2: Convert to fraction form
    98,024/214,724 = 214,724/x
  3. Step 3: Cross multiply
    98,024x = 214,724 × 214,724
  4. Step 4: Simplify right side
    98,024x = 46,106,396,176
  5. Step 5: Solve for x
    x = 46,106,396,176/98,024
  6. Step 6: Final answer
    x = 470,358.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.