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Finding the Third Proportional to 153,213.75 and 237,789

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Solution

The third proportional to 153,213.75 and 237,789 is: 369,050.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,213.75 : 237,789 = 237,789 : x
  2. Step 2: Convert to fraction form
    153,213.75/237,789 = 237,789/x
  3. Step 3: Cross multiply
    153,213.75x = 237,789 × 237,789
  4. Step 4: Simplify right side
    153,213.75x = 56,543,608,521
  5. Step 5: Solve for x
    x = 56,543,608,521/153,213.75
  6. Step 6: Final answer
    x = 369,050.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.