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Finding the Third Proportional to 249,414 and 373,137

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Solution

The third proportional to 249,414 and 373,137 is: 558,233.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,414 : 373,137 = 373,137 : x
  2. Step 2: Convert to fraction form
    249,414/373,137 = 373,137/x
  3. Step 3: Cross multiply
    249,414x = 373,137 × 373,137
  4. Step 4: Simplify right side
    249,414x = 139,231,220,769
  5. Step 5: Solve for x
    x = 139,231,220,769/249,414
  6. Step 6: Final answer
    x = 558,233.38

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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.