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Finding the Third Proportional to 185,492.53 and 404,200.13

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Solution

The third proportional to 185,492.53 and 404,200.13 is: 880,778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,492.53 : 404,200.13 = 404,200.13 : x
  2. Step 2: Convert to fraction form
    185,492.53/404,200.13 = 404,200.13/x
  3. Step 3: Cross multiply
    185,492.53x = 404,200.13 × 404,200.13
  4. Step 4: Simplify right side
    185,492.53x = 163,377,741,050.02
  5. Step 5: Solve for x
    x = 163,377,741,050.02/185,492.53
  6. Step 6: Final answer
    x = 880,778.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.