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Finding the Third Proportional to 122,730 and 264,774

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Solution

The third proportional to 122,730 and 264,774 is: 571,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,730 : 264,774 = 264,774 : x
  2. Step 2: Convert to fraction form
    122,730/264,774 = 264,774/x
  3. Step 3: Cross multiply
    122,730x = 264,774 × 264,774
  4. Step 4: Simplify right side
    122,730x = 70,105,271,076
  5. Step 5: Solve for x
    x = 70,105,271,076/122,730
  6. Step 6: Final answer
    x = 571,215.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.