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Finding the Third Proportional to 153,460.50 and 361,745

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Solution

The third proportional to 153,460.50 and 361,745 is: 852,723.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,460.50 : 361,745 = 361,745 : x
  2. Step 2: Convert to fraction form
    153,460.50/361,745 = 361,745/x
  3. Step 3: Cross multiply
    153,460.50x = 361,745 × 361,745
  4. Step 4: Simplify right side
    153,460.50x = 130,859,445,025
  5. Step 5: Solve for x
    x = 130,859,445,025/153,460.50
  6. Step 6: Final answer
    x = 852,723.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.