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Finding the Third Proportional to 116,500 and 249,992

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Solution

The third proportional to 116,500 and 249,992 is: 536,446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,500 : 249,992 = 249,992 : x
  2. Step 2: Convert to fraction form
    116,500/249,992 = 249,992/x
  3. Step 3: Cross multiply
    116,500x = 249,992 × 249,992
  4. Step 4: Simplify right side
    116,500x = 62,496,000,064
  5. Step 5: Solve for x
    x = 62,496,000,064/116,500
  6. Step 6: Final answer
    x = 536,446.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.