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Finding the Third Proportional to 128,440 and 300,040

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Solution

The third proportional to 128,440 and 300,040 is: 700,903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,440 : 300,040 = 300,040 : x
  2. Step 2: Convert to fraction form
    128,440/300,040 = 300,040/x
  3. Step 3: Cross multiply
    128,440x = 300,040 × 300,040
  4. Step 4: Simplify right side
    128,440x = 90,024,001,600
  5. Step 5: Solve for x
    x = 90,024,001,600/128,440
  6. Step 6: Final answer
    x = 700,903.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.