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Finding the Third Proportional to 122,786 and 264,465

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Solution

The third proportional to 122,786 and 264,465 is: 569,623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,786 : 264,465 = 264,465 : x
  2. Step 2: Convert to fraction form
    122,786/264,465 = 264,465/x
  3. Step 3: Cross multiply
    122,786x = 264,465 × 264,465
  4. Step 4: Simplify right side
    122,786x = 69,941,736,225
  5. Step 5: Solve for x
    x = 69,941,736,225/122,786
  6. Step 6: Final answer
    x = 569,623.05

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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.