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Finding the Third Proportional to 153,241.50 and 237,834

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Solution

The third proportional to 153,241.50 and 237,834 is: 369,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,241.50 : 237,834 = 237,834 : x
  2. Step 2: Convert to fraction form
    153,241.50/237,834 = 237,834/x
  3. Step 3: Cross multiply
    153,241.50x = 237,834 × 237,834
  4. Step 4: Simplify right side
    153,241.50x = 56,565,011,556
  5. Step 5: Solve for x
    x = 56,565,011,556/153,241.50
  6. Step 6: Final answer
    x = 369,123.32

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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.