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Finding the Third Proportional to 186,923.06 and 411,210.75

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Solution

The third proportional to 186,923.06 and 411,210.75 is: 904,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,923.06 : 411,210.75 = 411,210.75 : x
  2. Step 2: Convert to fraction form
    186,923.06/411,210.75 = 411,210.75/x
  3. Step 3: Cross multiply
    186,923.06x = 411,210.75 × 411,210.75
  4. Step 4: Simplify right side
    186,923.06x = 169,094,280,915.56
  5. Step 5: Solve for x
    x = 169,094,280,915.56/186,923.06
  6. Step 6: Final answer
    x = 904,619.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.