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Finding the Third Proportional to 173,612.25 and 380,461.50

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Solution

The third proportional to 173,612.25 and 380,461.50 is: 833,760.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,612.25 : 380,461.50 = 380,461.50 : x
  2. Step 2: Convert to fraction form
    173,612.25/380,461.50 = 380,461.50/x
  3. Step 3: Cross multiply
    173,612.25x = 380,461.50 × 380,461.50
  4. Step 4: Simplify right side
    173,612.25x = 144,750,952,982.25
  5. Step 5: Solve for x
    x = 144,750,952,982.25/173,612.25
  6. Step 6: Final answer
    x = 833,760.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.