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Finding the Third Proportional to 115,488 and 253,023

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Solution

The third proportional to 115,488 and 253,023 is: 554,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,488 : 253,023 = 253,023 : x
  2. Step 2: Convert to fraction form
    115,488/253,023 = 253,023/x
  3. Step 3: Cross multiply
    115,488x = 253,023 × 253,023
  4. Step 4: Simplify right side
    115,488x = 64,020,638,529
  5. Step 5: Solve for x
    x = 64,020,638,529/115,488
  6. Step 6: Final answer
    x = 554,348.84

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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.