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Finding the Third Proportional to 117,508.50 and 258,345

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Solution

The third proportional to 117,508.50 and 258,345 is: 567,977.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,508.50 : 258,345 = 258,345 : x
  2. Step 2: Convert to fraction form
    117,508.50/258,345 = 258,345/x
  3. Step 3: Cross multiply
    117,508.50x = 258,345 × 258,345
  4. Step 4: Simplify right side
    117,508.50x = 66,742,139,025
  5. Step 5: Solve for x
    x = 66,742,139,025/117,508.50
  6. Step 6: Final answer
    x = 567,977.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.