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Finding the Third Proportional to 98,262 and 210,336

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Solution

The third proportional to 98,262 and 210,336 is: 450,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,262 : 210,336 = 210,336 : x
  2. Step 2: Convert to fraction form
    98,262/210,336 = 210,336/x
  3. Step 3: Cross multiply
    98,262x = 210,336 × 210,336
  4. Step 4: Simplify right side
    98,262x = 44,241,232,896
  5. Step 5: Solve for x
    x = 44,241,232,896/98,262
  6. Step 6: Final answer
    x = 450,237.46

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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.