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Finding the Third Proportional to 249,179 and 376,741

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Solution

The third proportional to 249,179 and 376,741 is: 569,605.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,179 : 376,741 = 376,741 : x
  2. Step 2: Convert to fraction form
    249,179/376,741 = 376,741/x
  3. Step 3: Cross multiply
    249,179x = 376,741 × 376,741
  4. Step 4: Simplify right side
    249,179x = 141,933,781,081
  5. Step 5: Solve for x
    x = 141,933,781,081/249,179
  6. Step 6: Final answer
    x = 569,605.71

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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.