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Finding the Third Proportional to 249,048 and 376,164

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Solution

The third proportional to 249,048 and 376,164 is: 568,160.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,048 : 376,164 = 376,164 : x
  2. Step 2: Convert to fraction form
    249,048/376,164 = 376,164/x
  3. Step 3: Cross multiply
    249,048x = 376,164 × 376,164
  4. Step 4: Simplify right side
    249,048x = 141,499,354,896
  5. Step 5: Solve for x
    x = 141,499,354,896/249,048
  6. Step 6: Final answer
    x = 568,160.98

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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.