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Finding the Third Proportional to 145,237 and 303,776

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Solution

The third proportional to 145,237 and 303,776 is: 635,374.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,237 : 303,776 = 303,776 : x
  2. Step 2: Convert to fraction form
    145,237/303,776 = 303,776/x
  3. Step 3: Cross multiply
    145,237x = 303,776 × 303,776
  4. Step 4: Simplify right side
    145,237x = 92,279,858,176
  5. Step 5: Solve for x
    x = 92,279,858,176/145,237
  6. Step 6: Final answer
    x = 635,374.31

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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.