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Finding the Third Proportional to 167,723 and 249,298

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Solution

The third proportional to 167,723 and 249,298 is: 370,548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,723 : 249,298 = 249,298 : x
  2. Step 2: Convert to fraction form
    167,723/249,298 = 249,298/x
  3. Step 3: Cross multiply
    167,723x = 249,298 × 249,298
  4. Step 4: Simplify right side
    167,723x = 62,149,492,804
  5. Step 5: Solve for x
    x = 62,149,492,804/167,723
  6. Step 6: Final answer
    x = 370,548.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.