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Finding the Third Proportional to 186,807 and 256,882.50

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Solution

The third proportional to 186,807 and 256,882.50 is: 353,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,807 : 256,882.50 = 256,882.50 : x
  2. Step 2: Convert to fraction form
    186,807/256,882.50 = 256,882.50/x
  3. Step 3: Cross multiply
    186,807x = 256,882.50 × 256,882.50
  4. Step 4: Simplify right side
    186,807x = 65,988,618,806.25
  5. Step 5: Solve for x
    x = 65,988,618,806.25/186,807
  6. Step 6: Final answer
    x = 353,244.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.