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Finding the Third Proportional to 166,144 and 249,428

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Solution

The third proportional to 166,144 and 249,428 is: 374,460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,144 : 249,428 = 249,428 : x
  2. Step 2: Convert to fraction form
    166,144/249,428 = 249,428/x
  3. Step 3: Cross multiply
    166,144x = 249,428 × 249,428
  4. Step 4: Simplify right side
    166,144x = 62,214,327,184
  5. Step 5: Solve for x
    x = 62,214,327,184/166,144
  6. Step 6: Final answer
    x = 374,460.27

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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.