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Finding the Third Proportional to 114,558 and 245,640

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Solution

The third proportional to 114,558 and 245,640 is: 526,711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,558 : 245,640 = 245,640 : x
  2. Step 2: Convert to fraction form
    114,558/245,640 = 245,640/x
  3. Step 3: Cross multiply
    114,558x = 245,640 × 245,640
  4. Step 4: Simplify right side
    114,558x = 60,339,009,600
  5. Step 5: Solve for x
    x = 60,339,009,600/114,558
  6. Step 6: Final answer
    x = 526,711.44

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.