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Finding the Third Proportional to 122,823 and 260,407.13

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Solution

The third proportional to 122,823 and 260,407.13 is: 552,110.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,823 : 260,407.13 = 260,407.13 : x
  2. Step 2: Convert to fraction form
    122,823/260,407.13 = 260,407.13/x
  3. Step 3: Cross multiply
    122,823x = 260,407.13 × 260,407.13
  4. Step 4: Simplify right side
    122,823x = 67,811,870,750.77
  5. Step 5: Solve for x
    x = 67,811,870,750.77/122,823
  6. Step 6: Final answer
    x = 552,110.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.