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Finding the Third Proportional to 166,032 and 249,214.50

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Solution

The third proportional to 166,032 and 249,214.50 is: 374,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,032 : 249,214.50 = 249,214.50 : x
  2. Step 2: Convert to fraction form
    166,032/249,214.50 = 249,214.50/x
  3. Step 3: Cross multiply
    166,032x = 249,214.50 × 249,214.50
  4. Step 4: Simplify right side
    166,032x = 62,107,867,010.25
  5. Step 5: Solve for x
    x = 62,107,867,010.25/166,032
  6. Step 6: Final answer
    x = 374,071.67

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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.