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Finding the Third Proportional to 185,378.63 and 251,823.94

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Solution

The third proportional to 185,378.63 and 251,823.94 is: 342,085.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,378.63 : 251,823.94 = 251,823.94 : x
  2. Step 2: Convert to fraction form
    185,378.63/251,823.94 = 251,823.94/x
  3. Step 3: Cross multiply
    185,378.63x = 251,823.94 × 251,823.94
  4. Step 4: Simplify right side
    185,378.63x = 63,415,295,498.00
  5. Step 5: Solve for x
    x = 63,415,295,498.00/185,378.63
  6. Step 6: Final answer
    x = 342,085.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.