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Finding the Third Proportional to 112,925 and 245,533

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Solution

The third proportional to 112,925 and 245,533 is: 533,862.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,925 : 245,533 = 245,533 : x
  2. Step 2: Convert to fraction form
    112,925/245,533 = 245,533/x
  3. Step 3: Cross multiply
    112,925x = 245,533 × 245,533
  4. Step 4: Simplify right side
    112,925x = 60,286,454,089
  5. Step 5: Solve for x
    x = 60,286,454,089/112,925
  6. Step 6: Final answer
    x = 533,862.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.