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Finding the Third Proportional to 165,996 and 249,159

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Solution

The third proportional to 165,996 and 249,159 is: 373,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,996 : 249,159 = 249,159 : x
  2. Step 2: Convert to fraction form
    165,996/249,159 = 249,159/x
  3. Step 3: Cross multiply
    165,996x = 249,159 × 249,159
  4. Step 4: Simplify right side
    165,996x = 62,080,207,281
  5. Step 5: Solve for x
    x = 62,080,207,281/165,996
  6. Step 6: Final answer
    x = 373,986.16

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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.