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Finding the Third Proportional to 158,229 and 211,365

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Solution

The third proportional to 158,229 and 211,365 is: 282,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,229 : 211,365 = 211,365 : x
  2. Step 2: Convert to fraction form
    158,229/211,365 = 211,365/x
  3. Step 3: Cross multiply
    158,229x = 211,365 × 211,365
  4. Step 4: Simplify right side
    158,229x = 44,675,163,225
  5. Step 5: Solve for x
    x = 44,675,163,225/158,229
  6. Step 6: Final answer
    x = 282,344.98

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.