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Finding the Third Proportional to 249,050 and 376,167

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Solution

The third proportional to 249,050 and 376,167 is: 568,165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,050 : 376,167 = 376,167 : x
  2. Step 2: Convert to fraction form
    249,050/376,167 = 376,167/x
  3. Step 3: Cross multiply
    249,050x = 376,167 × 376,167
  4. Step 4: Simplify right side
    249,050x = 141,501,611,889
  5. Step 5: Solve for x
    x = 141,501,611,889/249,050
  6. Step 6: Final answer
    x = 568,165.48

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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.