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Finding the Third Proportional to 182,859.75 and 242,636.06

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Solution

The third proportional to 182,859.75 and 242,636.06 is: 321,953.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,859.75 : 242,636.06 = 242,636.06 : x
  2. Step 2: Convert to fraction form
    182,859.75/242,636.06 = 242,636.06/x
  3. Step 3: Cross multiply
    182,859.75x = 242,636.06 × 242,636.06
  4. Step 4: Simplify right side
    182,859.75x = 58,872,258,825.50
  5. Step 5: Solve for x
    x = 58,872,258,825.50/182,859.75
  6. Step 6: Final answer
    x = 321,953.08

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.