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Finding the Third Proportional to 119,842 and 186,303

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Solution

The third proportional to 119,842 and 186,303 is: 289,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,842 : 186,303 = 186,303 : x
  2. Step 2: Convert to fraction form
    119,842/186,303 = 186,303/x
  3. Step 3: Cross multiply
    119,842x = 186,303 × 186,303
  4. Step 4: Simplify right side
    119,842x = 34,708,807,809
  5. Step 5: Solve for x
    x = 34,708,807,809/119,842
  6. Step 6: Final answer
    x = 289,621.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.