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Finding the Third Proportional to 183,780 and 272,196

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Solution

The third proportional to 183,780 and 272,196 is: 403,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,780 : 272,196 = 272,196 : x
  2. Step 2: Convert to fraction form
    183,780/272,196 = 272,196/x
  3. Step 3: Cross multiply
    183,780x = 272,196 × 272,196
  4. Step 4: Simplify right side
    183,780x = 74,090,662,416
  5. Step 5: Solve for x
    x = 74,090,662,416/183,780
  6. Step 6: Final answer
    x = 403,148.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.