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Finding the Third Proportional to 115,486 and 253,040

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Solution

The third proportional to 115,486 and 253,040 is: 554,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,486 : 253,040 = 253,040 : x
  2. Step 2: Convert to fraction form
    115,486/253,040 = 253,040/x
  3. Step 3: Cross multiply
    115,486x = 253,040 × 253,040
  4. Step 4: Simplify right side
    115,486x = 64,029,241,600
  5. Step 5: Solve for x
    x = 64,029,241,600/115,486
  6. Step 6: Final answer
    x = 554,432.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.