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Finding the Third Proportional to 186,762.75 and 399,769.50

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Solution

The third proportional to 186,762.75 and 399,769.50 is: 855,714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,762.75 : 399,769.50 = 399,769.50 : x
  2. Step 2: Convert to fraction form
    186,762.75/399,769.50 = 399,769.50/x
  3. Step 3: Cross multiply
    186,762.75x = 399,769.50 × 399,769.50
  4. Step 4: Simplify right side
    186,762.75x = 159,815,653,130.25
  5. Step 5: Solve for x
    x = 159,815,653,130.25/186,762.75
  6. Step 6: Final answer
    x = 855,714.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.