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Finding the Third Proportional to 127,570 and 264,338

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Solution

The third proportional to 127,570 and 264,338 is: 547,735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,570 : 264,338 = 264,338 : x
  2. Step 2: Convert to fraction form
    127,570/264,338 = 264,338/x
  3. Step 3: Cross multiply
    127,570x = 264,338 × 264,338
  4. Step 4: Simplify right side
    127,570x = 69,874,578,244
  5. Step 5: Solve for x
    x = 69,874,578,244/127,570
  6. Step 6: Final answer
    x = 547,735.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.