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Finding the Third Proportional to 112,824 and 243,279

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Solution

The third proportional to 112,824 and 243,279 is: 524,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,824 : 243,279 = 243,279 : x
  2. Step 2: Convert to fraction form
    112,824/243,279 = 243,279/x
  3. Step 3: Cross multiply
    112,824x = 243,279 × 243,279
  4. Step 4: Simplify right side
    112,824x = 59,184,671,841
  5. Step 5: Solve for x
    x = 59,184,671,841/112,824
  6. Step 6: Final answer
    x = 524,575.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.