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Finding the Third Proportional to 190,096.50 and 403,413

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Solution

The third proportional to 190,096.50 and 403,413 is: 856,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,096.50 : 403,413 = 403,413 : x
  2. Step 2: Convert to fraction form
    190,096.50/403,413 = 403,413/x
  3. Step 3: Cross multiply
    190,096.50x = 403,413 × 403,413
  4. Step 4: Simplify right side
    190,096.50x = 162,742,048,569
  5. Step 5: Solve for x
    x = 162,742,048,569/190,096.50
  6. Step 6: Final answer
    x = 856,102.29

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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.