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Finding the Third Proportional to 123,602 and 264,700

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Solution

The third proportional to 123,602 and 264,700 is: 566,868.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,602 : 264,700 = 264,700 : x
  2. Step 2: Convert to fraction form
    123,602/264,700 = 264,700/x
  3. Step 3: Cross multiply
    123,602x = 264,700 × 264,700
  4. Step 4: Simplify right side
    123,602x = 70,066,090,000
  5. Step 5: Solve for x
    x = 70,066,090,000/123,602
  6. Step 6: Final answer
    x = 566,868.58

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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.