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Finding the Third Proportional to 122,784 and 264,461

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Solution

The third proportional to 122,784 and 264,461 is: 569,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,784 : 264,461 = 264,461 : x
  2. Step 2: Convert to fraction form
    122,784/264,461 = 264,461/x
  3. Step 3: Cross multiply
    122,784x = 264,461 × 264,461
  4. Step 4: Simplify right side
    122,784x = 69,939,620,521
  5. Step 5: Solve for x
    x = 69,939,620,521/122,784
  6. Step 6: Final answer
    x = 569,615.10

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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.