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Finding the Third Proportional to 122,476.88 and 249,874.31

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Solution

The third proportional to 122,476.88 and 249,874.31 is: 509,787.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,476.88 : 249,874.31 = 249,874.31 : x
  2. Step 2: Convert to fraction form
    122,476.88/249,874.31 = 249,874.31/x
  3. Step 3: Cross multiply
    122,476.88x = 249,874.31 × 249,874.31
  4. Step 4: Simplify right side
    122,476.88x = 62,437,172,047.35
  5. Step 5: Solve for x
    x = 62,437,172,047.35/122,476.88
  6. Step 6: Final answer
    x = 509,787.44

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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.