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Finding the Third Proportional to 123,303 and 265,318

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Solution

The third proportional to 123,303 and 265,318 is: 570,899.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,303 : 265,318 = 265,318 : x
  2. Step 2: Convert to fraction form
    123,303/265,318 = 265,318/x
  3. Step 3: Cross multiply
    123,303x = 265,318 × 265,318
  4. Step 4: Simplify right side
    123,303x = 70,393,641,124
  5. Step 5: Solve for x
    x = 70,393,641,124/123,303
  6. Step 6: Final answer
    x = 570,899.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.