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Finding the Third Proportional to 145,248 and 303,798

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Solution

The third proportional to 145,248 and 303,798 is: 635,418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,248 : 303,798 = 303,798 : x
  2. Step 2: Convert to fraction form
    145,248/303,798 = 303,798/x
  3. Step 3: Cross multiply
    145,248x = 303,798 × 303,798
  4. Step 4: Simplify right side
    145,248x = 92,293,224,804
  5. Step 5: Solve for x
    x = 92,293,224,804/145,248
  6. Step 6: Final answer
    x = 635,418.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.