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Finding the Third Proportional to 122,483.63 and 262,463.25

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Solution

The third proportional to 122,483.63 and 262,463.25 is: 562,417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,483.63 : 262,463.25 = 262,463.25 : x
  2. Step 2: Convert to fraction form
    122,483.63/262,463.25 = 262,463.25/x
  3. Step 3: Cross multiply
    122,483.63x = 262,463.25 × 262,463.25
  4. Step 4: Simplify right side
    122,483.63x = 68,886,957,600.56
  5. Step 5: Solve for x
    x = 68,886,957,600.56/122,483.63
  6. Step 6: Final answer
    x = 562,417.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.