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Finding the Third Proportional to 182,104 and 371,430.50

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Solution

The third proportional to 182,104 and 371,430.50 is: 757,592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,104 : 371,430.50 = 371,430.50 : x
  2. Step 2: Convert to fraction form
    182,104/371,430.50 = 371,430.50/x
  3. Step 3: Cross multiply
    182,104x = 371,430.50 × 371,430.50
  4. Step 4: Simplify right side
    182,104x = 137,960,616,330.25
  5. Step 5: Solve for x
    x = 137,960,616,330.25/182,104
  6. Step 6: Final answer
    x = 757,592.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.