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Finding the Third Proportional to 166,382 and 249,492

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Solution

The third proportional to 166,382 and 249,492 is: 374,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,382 : 249,492 = 249,492 : x
  2. Step 2: Convert to fraction form
    166,382/249,492 = 249,492/x
  3. Step 3: Cross multiply
    166,382x = 249,492 × 249,492
  4. Step 4: Simplify right side
    166,382x = 62,246,258,064
  5. Step 5: Solve for x
    x = 62,246,258,064/166,382
  6. Step 6: Final answer
    x = 374,116.54

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