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Finding the Third Proportional to 153,241 and 237,833

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Solution

The third proportional to 153,241 and 237,833 is: 369,121.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,241 : 237,833 = 237,833 : x
  2. Step 2: Convert to fraction form
    153,241/237,833 = 237,833/x
  3. Step 3: Cross multiply
    153,241x = 237,833 × 237,833
  4. Step 4: Simplify right side
    153,241x = 56,564,535,889
  5. Step 5: Solve for x
    x = 56,564,535,889/153,241
  6. Step 6: Final answer
    x = 369,121.42

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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.