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Finding the Third Proportional to 115,575 and 248,394

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Solution

The third proportional to 115,575 and 248,394 is: 533,848.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,575 : 248,394 = 248,394 : x
  2. Step 2: Convert to fraction form
    115,575/248,394 = 248,394/x
  3. Step 3: Cross multiply
    115,575x = 248,394 × 248,394
  4. Step 4: Simplify right side
    115,575x = 61,699,579,236
  5. Step 5: Solve for x
    x = 61,699,579,236/115,575
  6. Step 6: Final answer
    x = 533,848.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.