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Finding the Third Proportional to 123,242 and 265,708

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Solution

The third proportional to 123,242 and 265,708 is: 572,862.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,242 : 265,708 = 265,708 : x
  2. Step 2: Convert to fraction form
    123,242/265,708 = 265,708/x
  3. Step 3: Cross multiply
    123,242x = 265,708 × 265,708
  4. Step 4: Simplify right side
    123,242x = 70,600,741,264
  5. Step 5: Solve for x
    x = 70,600,741,264/123,242
  6. Step 6: Final answer
    x = 572,862.67

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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.