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Finding the Third Proportional to 119,385 and 186,345

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Solution

The third proportional to 119,385 and 186,345 is: 290,861.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,385 : 186,345 = 186,345 : x
  2. Step 2: Convert to fraction form
    119,385/186,345 = 186,345/x
  3. Step 3: Cross multiply
    119,385x = 186,345 × 186,345
  4. Step 4: Simplify right side
    119,385x = 34,724,459,025
  5. Step 5: Solve for x
    x = 34,724,459,025/119,385
  6. Step 6: Final answer
    x = 290,861.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.