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Finding the Third Proportional to 115,278 and 252,426

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Solution

The third proportional to 115,278 and 252,426 is: 552,741.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,278 : 252,426 = 252,426 : x
  2. Step 2: Convert to fraction form
    115,278/252,426 = 252,426/x
  3. Step 3: Cross multiply
    115,278x = 252,426 × 252,426
  4. Step 4: Simplify right side
    115,278x = 63,718,885,476
  5. Step 5: Solve for x
    x = 63,718,885,476/115,278
  6. Step 6: Final answer
    x = 552,741.07

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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.