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Finding the Third Proportional to 147,509 and 234,536

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Solution

The third proportional to 147,509 and 234,536 is: 372,906.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,509 : 234,536 = 234,536 : x
  2. Step 2: Convert to fraction form
    147,509/234,536 = 234,536/x
  3. Step 3: Cross multiply
    147,509x = 234,536 × 234,536
  4. Step 4: Simplify right side
    147,509x = 55,007,135,296
  5. Step 5: Solve for x
    x = 55,007,135,296/147,509
  6. Step 6: Final answer
    x = 372,906.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.