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Finding the Third Proportional to 118,353 and 245,442

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Solution

The third proportional to 118,353 and 245,442 is: 509,000.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,353 : 245,442 = 245,442 : x
  2. Step 2: Convert to fraction form
    118,353/245,442 = 245,442/x
  3. Step 3: Cross multiply
    118,353x = 245,442 × 245,442
  4. Step 4: Simplify right side
    118,353x = 60,241,775,364
  5. Step 5: Solve for x
    x = 60,241,775,364/118,353
  6. Step 6: Final answer
    x = 509,000.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.