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Finding the Third Proportional to 190,039.50 and 415,719

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Solution

The third proportional to 190,039.50 and 415,719 is: 909,401.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,039.50 : 415,719 = 415,719 : x
  2. Step 2: Convert to fraction form
    190,039.50/415,719 = 415,719/x
  3. Step 3: Cross multiply
    190,039.50x = 415,719 × 415,719
  4. Step 4: Simplify right side
    190,039.50x = 172,822,286,961
  5. Step 5: Solve for x
    x = 172,822,286,961/190,039.50
  6. Step 6: Final answer
    x = 909,401.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.