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Finding the Third Proportional to 249,738 and 373,131

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Solution

The third proportional to 249,738 and 373,131 is: 557,491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,738 : 373,131 = 373,131 : x
  2. Step 2: Convert to fraction form
    249,738/373,131 = 373,131/x
  3. Step 3: Cross multiply
    249,738x = 373,131 × 373,131
  4. Step 4: Simplify right side
    249,738x = 139,226,743,161
  5. Step 5: Solve for x
    x = 139,226,743,161/249,738
  6. Step 6: Final answer
    x = 557,491.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.