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Finding the Third Proportional to 134,036 and 264,688

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Solution

The third proportional to 134,036 and 264,688 is: 522,693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,036 : 264,688 = 264,688 : x
  2. Step 2: Convert to fraction form
    134,036/264,688 = 264,688/x
  3. Step 3: Cross multiply
    134,036x = 264,688 × 264,688
  4. Step 4: Simplify right side
    134,036x = 70,059,737,344
  5. Step 5: Solve for x
    x = 70,059,737,344/134,036
  6. Step 6: Final answer
    x = 522,693.44

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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.