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Finding the Third Proportional to 203,537 and 298,013.50

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Solution

The third proportional to 203,537 and 298,013.50 is: 436,343.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,537 : 298,013.50 = 298,013.50 : x
  2. Step 2: Convert to fraction form
    203,537/298,013.50 = 298,013.50/x
  3. Step 3: Cross multiply
    203,537x = 298,013.50 × 298,013.50
  4. Step 4: Simplify right side
    203,537x = 88,812,046,182.25
  5. Step 5: Solve for x
    x = 88,812,046,182.25/203,537
  6. Step 6: Final answer
    x = 436,343.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.