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Finding the Third Proportional to 186,670 and 438,789.50

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Solution

The third proportional to 186,670 and 438,789.50 is: 1,031,425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,670 : 438,789.50 = 438,789.50 : x
  2. Step 2: Convert to fraction form
    186,670/438,789.50 = 438,789.50/x
  3. Step 3: Cross multiply
    186,670x = 438,789.50 × 438,789.50
  4. Step 4: Simplify right side
    186,670x = 192,536,225,310.25
  5. Step 5: Solve for x
    x = 192,536,225,310.25/186,670
  6. Step 6: Final answer
    x = 1,031,425.65

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.