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Finding the Third Proportional to 153,434.50 and 185,420

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Solution

The third proportional to 153,434.50 and 185,420 is: 224,073.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,434.50 : 185,420 = 185,420 : x
  2. Step 2: Convert to fraction form
    153,434.50/185,420 = 185,420/x
  3. Step 3: Cross multiply
    153,434.50x = 185,420 × 185,420
  4. Step 4: Simplify right side
    153,434.50x = 34,380,576,400
  5. Step 5: Solve for x
    x = 34,380,576,400/153,434.50
  6. Step 6: Final answer
    x = 224,073.31

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.