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Finding the Third Proportional to 113,276 and 264,560

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Solution

The third proportional to 113,276 and 264,560 is: 617,888.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,276 : 264,560 = 264,560 : x
  2. Step 2: Convert to fraction form
    113,276/264,560 = 264,560/x
  3. Step 3: Cross multiply
    113,276x = 264,560 × 264,560
  4. Step 4: Simplify right side
    113,276x = 69,991,993,600
  5. Step 5: Solve for x
    x = 69,991,993,600/113,276
  6. Step 6: Final answer
    x = 617,888.99

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.