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Finding the Third Proportional to 186,997.50 and 385,023

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Solution

The third proportional to 186,997.50 and 385,023 is: 792,752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,997.50 : 385,023 = 385,023 : x
  2. Step 2: Convert to fraction form
    186,997.50/385,023 = 385,023/x
  3. Step 3: Cross multiply
    186,997.50x = 385,023 × 385,023
  4. Step 4: Simplify right side
    186,997.50x = 148,242,710,529
  5. Step 5: Solve for x
    x = 148,242,710,529/186,997.50
  6. Step 6: Final answer
    x = 792,752.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.