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Finding the Third Proportional to 249,743 and 373,138

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Solution

The third proportional to 249,743 and 373,138 is: 557,500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,743 : 373,138 = 373,138 : x
  2. Step 2: Convert to fraction form
    249,743/373,138 = 373,138/x
  3. Step 3: Cross multiply
    249,743x = 373,138 × 373,138
  4. Step 4: Simplify right side
    249,743x = 139,231,967,044
  5. Step 5: Solve for x
    x = 139,231,967,044/249,743
  6. Step 6: Final answer
    x = 557,500.98

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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.