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Finding the Third Proportional to 122,368 and 264,320

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Solution

The third proportional to 122,368 and 264,320 is: 570,942.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,368 : 264,320 = 264,320 : x
  2. Step 2: Convert to fraction form
    122,368/264,320 = 264,320/x
  3. Step 3: Cross multiply
    122,368x = 264,320 × 264,320
  4. Step 4: Simplify right side
    122,368x = 69,865,062,400
  5. Step 5: Solve for x
    x = 69,865,062,400/122,368
  6. Step 6: Final answer
    x = 570,942.26

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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.