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Finding the Third Proportional to 122,260 and 249,704

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Solution

The third proportional to 122,260 and 249,704 is: 509,995.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,260 : 249,704 = 249,704 : x
  2. Step 2: Convert to fraction form
    122,260/249,704 = 249,704/x
  3. Step 3: Cross multiply
    122,260x = 249,704 × 249,704
  4. Step 4: Simplify right side
    122,260x = 62,352,087,616
  5. Step 5: Solve for x
    x = 62,352,087,616/122,260
  6. Step 6: Final answer
    x = 509,995.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.