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Finding the Third Proportional to 115,483 and 253,013

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Solution

The third proportional to 115,483 and 253,013 is: 554,329.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,483 : 253,013 = 253,013 : x
  2. Step 2: Convert to fraction form
    115,483/253,013 = 253,013/x
  3. Step 3: Cross multiply
    115,483x = 253,013 × 253,013
  4. Step 4: Simplify right side
    115,483x = 64,015,578,169
  5. Step 5: Solve for x
    x = 64,015,578,169/115,483
  6. Step 6: Final answer
    x = 554,329.02

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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.