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Finding the Third Proportional to 166,787 and 245,769

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Solution

The third proportional to 166,787 and 245,769 is: 362,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,787 : 245,769 = 245,769 : x
  2. Step 2: Convert to fraction form
    166,787/245,769 = 245,769/x
  3. Step 3: Cross multiply
    166,787x = 245,769 × 245,769
  4. Step 4: Simplify right side
    166,787x = 60,402,401,361
  5. Step 5: Solve for x
    x = 60,402,401,361/166,787
  6. Step 6: Final answer
    x = 362,152.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.