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Finding the Third Proportional to 128,964 and 273,588

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Solution

The third proportional to 128,964 and 273,588 is: 580,397.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,964 : 273,588 = 273,588 : x
  2. Step 2: Convert to fraction form
    128,964/273,588 = 273,588/x
  3. Step 3: Cross multiply
    128,964x = 273,588 × 273,588
  4. Step 4: Simplify right side
    128,964x = 74,850,393,744
  5. Step 5: Solve for x
    x = 74,850,393,744/128,964
  6. Step 6: Final answer
    x = 580,397.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.