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Finding the Third Proportional to 85,178 and 185,224

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Solution

The third proportional to 85,178 and 185,224 is: 402,779.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,178 : 185,224 = 185,224 : x
  2. Step 2: Convert to fraction form
    85,178/185,224 = 185,224/x
  3. Step 3: Cross multiply
    85,178x = 185,224 × 185,224
  4. Step 4: Simplify right side
    85,178x = 34,307,930,176
  5. Step 5: Solve for x
    x = 34,307,930,176/85,178
  6. Step 6: Final answer
    x = 402,779.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.