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Finding the Third Proportional to 122,981.63 and 264,826.13

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Solution

The third proportional to 122,981.63 and 264,826.13 is: 570,271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,981.63 : 264,826.13 = 264,826.13 : x
  2. Step 2: Convert to fraction form
    122,981.63/264,826.13 = 264,826.13/x
  3. Step 3: Cross multiply
    122,981.63x = 264,826.13 × 264,826.13
  4. Step 4: Simplify right side
    122,981.63x = 70,132,876,482.52
  5. Step 5: Solve for x
    x = 70,132,876,482.52/122,981.63
  6. Step 6: Final answer
    x = 570,271.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.