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Finding the Third Proportional to 162,424 and 249,976

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Solution

The third proportional to 162,424 and 249,976 is: 384,721.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,424 : 249,976 = 249,976 : x
  2. Step 2: Convert to fraction form
    162,424/249,976 = 249,976/x
  3. Step 3: Cross multiply
    162,424x = 249,976 × 249,976
  4. Step 4: Simplify right side
    162,424x = 62,488,000,576
  5. Step 5: Solve for x
    x = 62,488,000,576/162,424
  6. Step 6: Final answer
    x = 384,721.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.