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Finding the Third Proportional to 249,177 and 376,738

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Solution

The third proportional to 249,177 and 376,738 is: 569,601.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,177 : 376,738 = 376,738 : x
  2. Step 2: Convert to fraction form
    249,177/376,738 = 376,738/x
  3. Step 3: Cross multiply
    249,177x = 376,738 × 376,738
  4. Step 4: Simplify right side
    249,177x = 141,931,520,644
  5. Step 5: Solve for x
    x = 141,931,520,644/249,177
  6. Step 6: Final answer
    x = 569,601.21

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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.