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Finding the Third Proportional to 166,114 and 249,322

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Solution

The third proportional to 166,114 and 249,322 is: 374,209.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,114 : 249,322 = 249,322 : x
  2. Step 2: Convert to fraction form
    166,114/249,322 = 249,322/x
  3. Step 3: Cross multiply
    166,114x = 249,322 × 249,322
  4. Step 4: Simplify right side
    166,114x = 62,161,459,684
  5. Step 5: Solve for x
    x = 62,161,459,684/166,114
  6. Step 6: Final answer
    x = 374,209.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.