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Finding the Third Proportional to 190,080 and 403,380

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Solution

The third proportional to 190,080 and 403,380 is: 856,036.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,080 : 403,380 = 403,380 : x
  2. Step 2: Convert to fraction form
    190,080/403,380 = 403,380/x
  3. Step 3: Cross multiply
    190,080x = 403,380 × 403,380
  4. Step 4: Simplify right side
    190,080x = 162,715,424,400
  5. Step 5: Solve for x
    x = 162,715,424,400/190,080
  6. Step 6: Final answer
    x = 856,036.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.