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Finding the Third Proportional to 128,800.13 and 265,700.25

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Solution

The third proportional to 128,800.13 and 265,700.25 is: 548,109.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,800.13 : 265,700.25 = 265,700.25 : x
  2. Step 2: Convert to fraction form
    128,800.13/265,700.25 = 265,700.25/x
  3. Step 3: Cross multiply
    128,800.13x = 265,700.25 × 265,700.25
  4. Step 4: Simplify right side
    128,800.13x = 70,596,622,850.06
  5. Step 5: Solve for x
    x = 70,596,622,850.06/128,800.13
  6. Step 6: Final answer
    x = 548,109.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.