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Finding the Third Proportional to 136,339.88 and 294,458.63

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Solution

The third proportional to 136,339.88 and 294,458.63 is: 635,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,339.88 : 294,458.63 = 294,458.63 : x
  2. Step 2: Convert to fraction form
    136,339.88/294,458.63 = 294,458.63/x
  3. Step 3: Cross multiply
    136,339.88x = 294,458.63 × 294,458.63
  4. Step 4: Simplify right side
    136,339.88x = 86,705,881,836.89
  5. Step 5: Solve for x
    x = 86,705,881,836.89/136,339.88
  6. Step 6: Final answer
    x = 635,953.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.