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Finding the Third Proportional to 122,774 and 262,972

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Solution

The third proportional to 122,774 and 262,972 is: 563,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,774 : 262,972 = 262,972 : x
  2. Step 2: Convert to fraction form
    122,774/262,972 = 262,972/x
  3. Step 3: Cross multiply
    122,774x = 262,972 × 262,972
  4. Step 4: Simplify right side
    122,774x = 69,154,272,784
  5. Step 5: Solve for x
    x = 69,154,272,784/122,774
  6. Step 6: Final answer
    x = 563,264.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.