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Finding the Third Proportional to 156,744 and 249,100

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Solution

The third proportional to 156,744 and 249,100 is: 395,873.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,744 : 249,100 = 249,100 : x
  2. Step 2: Convert to fraction form
    156,744/249,100 = 249,100/x
  3. Step 3: Cross multiply
    156,744x = 249,100 × 249,100
  4. Step 4: Simplify right side
    156,744x = 62,050,810,000
  5. Step 5: Solve for x
    x = 62,050,810,000/156,744
  6. Step 6: Final answer
    x = 395,873.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.