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Finding the Third Proportional to 85,788 and 185,888

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Solution

The third proportional to 85,788 and 185,888 is: 402,787.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,788 : 185,888 = 185,888 : x
  2. Step 2: Convert to fraction form
    85,788/185,888 = 185,888/x
  3. Step 3: Cross multiply
    85,788x = 185,888 × 185,888
  4. Step 4: Simplify right side
    85,788x = 34,554,348,544
  5. Step 5: Solve for x
    x = 34,554,348,544/85,788
  6. Step 6: Final answer
    x = 402,787.67

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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.