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Finding the Third Proportional to 113,174 and 245,818

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Solution

The third proportional to 113,174 and 245,818 is: 533,925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,174 : 245,818 = 245,818 : x
  2. Step 2: Convert to fraction form
    113,174/245,818 = 245,818/x
  3. Step 3: Cross multiply
    113,174x = 245,818 × 245,818
  4. Step 4: Simplify right side
    113,174x = 60,426,489,124
  5. Step 5: Solve for x
    x = 60,426,489,124/113,174
  6. Step 6: Final answer
    x = 533,925.54

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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.