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Finding the Third Proportional to 123,168 and 265,332

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Solution

The third proportional to 123,168 and 265,332 is: 571,585.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,168 : 265,332 = 265,332 : x
  2. Step 2: Convert to fraction form
    123,168/265,332 = 265,332/x
  3. Step 3: Cross multiply
    123,168x = 265,332 × 265,332
  4. Step 4: Simplify right side
    123,168x = 70,401,070,224
  5. Step 5: Solve for x
    x = 70,401,070,224/123,168
  6. Step 6: Final answer
    x = 571,585.72

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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.