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Finding the Third Proportional to 98,176 and 210,240

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Solution

The third proportional to 98,176 and 210,240 is: 450,220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,176 : 210,240 = 210,240 : x
  2. Step 2: Convert to fraction form
    98,176/210,240 = 210,240/x
  3. Step 3: Cross multiply
    98,176x = 210,240 × 210,240
  4. Step 4: Simplify right side
    98,176x = 44,200,857,600
  5. Step 5: Solve for x
    x = 44,200,857,600/98,176
  6. Step 6: Final answer
    x = 450,220.60

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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.