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Finding the Third Proportional to 166,378 and 249,486

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Solution

The third proportional to 166,378 and 249,486 is: 374,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,378 : 249,486 = 249,486 : x
  2. Step 2: Convert to fraction form
    166,378/249,486 = 249,486/x
  3. Step 3: Cross multiply
    166,378x = 249,486 × 249,486
  4. Step 4: Simplify right side
    166,378x = 62,243,264,196
  5. Step 5: Solve for x
    x = 62,243,264,196/166,378
  6. Step 6: Final answer
    x = 374,107.54

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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.