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Finding the Third Proportional to 153,914 and 236,421

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Solution

The third proportional to 153,914 and 236,421 is: 363,156.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,914 : 236,421 = 236,421 : x
  2. Step 2: Convert to fraction form
    153,914/236,421 = 236,421/x
  3. Step 3: Cross multiply
    153,914x = 236,421 × 236,421
  4. Step 4: Simplify right side
    153,914x = 55,894,889,241
  5. Step 5: Solve for x
    x = 55,894,889,241/153,914
  6. Step 6: Final answer
    x = 363,156.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.