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Finding the Third Proportional to 162,993 and 249,333

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Solution

The third proportional to 162,993 and 249,333 is: 381,408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,993 : 249,333 = 249,333 : x
  2. Step 2: Convert to fraction form
    162,993/249,333 = 249,333/x
  3. Step 3: Cross multiply
    162,993x = 249,333 × 249,333
  4. Step 4: Simplify right side
    162,993x = 62,166,944,889
  5. Step 5: Solve for x
    x = 62,166,944,889/162,993
  6. Step 6: Final answer
    x = 381,408.68

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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.