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Finding the Third Proportional to 134,020 and 264,656

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Solution

The third proportional to 134,020 and 264,656 is: 522,629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,020 : 264,656 = 264,656 : x
  2. Step 2: Convert to fraction form
    134,020/264,656 = 264,656/x
  3. Step 3: Cross multiply
    134,020x = 264,656 × 264,656
  4. Step 4: Simplify right side
    134,020x = 70,042,798,336
  5. Step 5: Solve for x
    x = 70,042,798,336/134,020
  6. Step 6: Final answer
    x = 522,629.45

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.