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Finding the Third Proportional to 129,004 and 303,550

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Solution

The third proportional to 129,004 and 303,550 is: 714,261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,004 : 303,550 = 303,550 : x
  2. Step 2: Convert to fraction form
    129,004/303,550 = 303,550/x
  3. Step 3: Cross multiply
    129,004x = 303,550 × 303,550
  4. Step 4: Simplify right side
    129,004x = 92,142,602,500
  5. Step 5: Solve for x
    x = 92,142,602,500/129,004
  6. Step 6: Final answer
    x = 714,261.59

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.