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Finding the Third Proportional to 163,746 and 249,993

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Solution

The third proportional to 163,746 and 249,993 is: 381,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,746 : 249,993 = 249,993 : x
  2. Step 2: Convert to fraction form
    163,746/249,993 = 249,993/x
  3. Step 3: Cross multiply
    163,746x = 249,993 × 249,993
  4. Step 4: Simplify right side
    163,746x = 62,496,500,049
  5. Step 5: Solve for x
    x = 62,496,500,049/163,746
  6. Step 6: Final answer
    x = 381,667.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.