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Finding the Third Proportional to 249,192 and 376,380

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Solution

The third proportional to 249,192 and 376,380 is: 568,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,192 : 376,380 = 376,380 : x
  2. Step 2: Convert to fraction form
    249,192/376,380 = 376,380/x
  3. Step 3: Cross multiply
    249,192x = 376,380 × 376,380
  4. Step 4: Simplify right side
    249,192x = 141,661,904,400
  5. Step 5: Solve for x
    x = 141,661,904,400/249,192
  6. Step 6: Final answer
    x = 568,484.96

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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.