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Finding the Third Proportional to 145,456 and 304,152

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Solution

The third proportional to 145,456 and 304,152 is: 635,989.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,456 : 304,152 = 304,152 : x
  2. Step 2: Convert to fraction form
    145,456/304,152 = 304,152/x
  3. Step 3: Cross multiply
    145,456x = 304,152 × 304,152
  4. Step 4: Simplify right side
    145,456x = 92,508,439,104
  5. Step 5: Solve for x
    x = 92,508,439,104/145,456
  6. Step 6: Final answer
    x = 635,989.16

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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.