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Finding the Third Proportional to 114,470 and 248,639

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Solution

The third proportional to 114,470 and 248,639 is: 540,065.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,470 : 248,639 = 248,639 : x
  2. Step 2: Convert to fraction form
    114,470/248,639 = 248,639/x
  3. Step 3: Cross multiply
    114,470x = 248,639 × 248,639
  4. Step 4: Simplify right side
    114,470x = 61,821,352,321
  5. Step 5: Solve for x
    x = 61,821,352,321/114,470
  6. Step 6: Final answer
    x = 540,065.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.