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Finding the Third Proportional to 153,340.50 and 234,951

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Solution

The third proportional to 153,340.50 and 234,951 is: 359,996.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,340.50 : 234,951 = 234,951 : x
  2. Step 2: Convert to fraction form
    153,340.50/234,951 = 234,951/x
  3. Step 3: Cross multiply
    153,340.50x = 234,951 × 234,951
  4. Step 4: Simplify right side
    153,340.50x = 55,201,972,401
  5. Step 5: Solve for x
    x = 55,201,972,401/153,340.50
  6. Step 6: Final answer
    x = 359,996.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.