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Finding the Third Proportional to 119,470.50 and 186,464.25

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Solution

The third proportional to 119,470.50 and 186,464.25 is: 291,025.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,470.50 : 186,464.25 = 186,464.25 : x
  2. Step 2: Convert to fraction form
    119,470.50/186,464.25 = 186,464.25/x
  3. Step 3: Cross multiply
    119,470.50x = 186,464.25 × 186,464.25
  4. Step 4: Simplify right side
    119,470.50x = 34,768,916,528.06
  5. Step 5: Solve for x
    x = 34,768,916,528.06/119,470.50
  6. Step 6: Final answer
    x = 291,025.12

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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.