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Finding the Third Proportional to 123,516 and 266,232

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Solution

The third proportional to 123,516 and 266,232 is: 573,848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,516 : 266,232 = 266,232 : x
  2. Step 2: Convert to fraction form
    123,516/266,232 = 266,232/x
  3. Step 3: Cross multiply
    123,516x = 266,232 × 266,232
  4. Step 4: Simplify right side
    123,516x = 70,879,477,824
  5. Step 5: Solve for x
    x = 70,879,477,824/123,516
  6. Step 6: Final answer
    x = 573,848.55

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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.