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Finding the Third Proportional to 165,984 and 249,096

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Solution

The third proportional to 165,984 and 249,096 is: 373,824.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,984 : 249,096 = 249,096 : x
  2. Step 2: Convert to fraction form
    165,984/249,096 = 249,096/x
  3. Step 3: Cross multiply
    165,984x = 249,096 × 249,096
  4. Step 4: Simplify right side
    165,984x = 62,048,817,216
  5. Step 5: Solve for x
    x = 62,048,817,216/165,984
  6. Step 6: Final answer
    x = 373,824.09

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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.