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Finding the Third Proportional to 98,507 and 209,317

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Solution

The third proportional to 98,507 and 209,317 is: 444,776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,507 : 209,317 = 209,317 : x
  2. Step 2: Convert to fraction form
    98,507/209,317 = 209,317/x
  3. Step 3: Cross multiply
    98,507x = 209,317 × 209,317
  4. Step 4: Simplify right side
    98,507x = 43,813,606,489
  5. Step 5: Solve for x
    x = 43,813,606,489/98,507
  6. Step 6: Final answer
    x = 444,776.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.