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Finding the Third Proportional to 166,799 and 245,787

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Solution

The third proportional to 166,799 and 245,787 is: 362,179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,799 : 245,787 = 245,787 : x
  2. Step 2: Convert to fraction form
    166,799/245,787 = 245,787/x
  3. Step 3: Cross multiply
    166,799x = 245,787 × 245,787
  4. Step 4: Simplify right side
    166,799x = 60,411,249,369
  5. Step 5: Solve for x
    x = 60,411,249,369/166,799
  6. Step 6: Final answer
    x = 362,179.93

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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.