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Finding the Third Proportional to 249,165 and 376,339.50

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Solution

The third proportional to 249,165 and 376,339.50 is: 568,424.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,165 : 376,339.50 = 376,339.50 : x
  2. Step 2: Convert to fraction form
    249,165/376,339.50 = 376,339.50/x
  3. Step 3: Cross multiply
    249,165x = 376,339.50 × 376,339.50
  4. Step 4: Simplify right side
    249,165x = 141,631,419,260.25
  5. Step 5: Solve for x
    x = 141,631,419,260.25/249,165
  6. Step 6: Final answer
    x = 568,424.21

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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.