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Finding the Third Proportional to 148,182 and 211,747.50

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Solution

The third proportional to 148,182 and 211,747.50 is: 302,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,182 : 211,747.50 = 211,747.50 : x
  2. Step 2: Convert to fraction form
    148,182/211,747.50 = 211,747.50/x
  3. Step 3: Cross multiply
    148,182x = 211,747.50 × 211,747.50
  4. Step 4: Simplify right side
    148,182x = 44,837,003,756.25
  5. Step 5: Solve for x
    x = 44,837,003,756.25/148,182
  6. Step 6: Final answer
    x = 302,580.64

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.