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Finding the Third Proportional to 249,146 and 376,311

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Solution

The third proportional to 249,146 and 376,311 is: 568,381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,146 : 376,311 = 376,311 : x
  2. Step 2: Convert to fraction form
    249,146/376,311 = 376,311/x
  3. Step 3: Cross multiply
    249,146x = 376,311 × 376,311
  4. Step 4: Simplify right side
    249,146x = 141,609,968,721
  5. Step 5: Solve for x
    x = 141,609,968,721/249,146
  6. Step 6: Final answer
    x = 568,381.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.