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Finding the Third Proportional to 85,898.25 and 183,210.75

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Solution

The third proportional to 85,898.25 and 183,210.75 is: 390,766.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,898.25 : 183,210.75 = 183,210.75 : x
  2. Step 2: Convert to fraction form
    85,898.25/183,210.75 = 183,210.75/x
  3. Step 3: Cross multiply
    85,898.25x = 183,210.75 × 183,210.75
  4. Step 4: Simplify right side
    85,898.25x = 33,566,178,915.56
  5. Step 5: Solve for x
    x = 33,566,178,915.56/85,898.25
  6. Step 6: Final answer
    x = 390,766.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.