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Finding the Third Proportional to 190,489.50 and 416,397

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Solution

The third proportional to 190,489.50 and 416,397 is: 910,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,489.50 : 416,397 = 416,397 : x
  2. Step 2: Convert to fraction form
    190,489.50/416,397 = 416,397/x
  3. Step 3: Cross multiply
    190,489.50x = 416,397 × 416,397
  4. Step 4: Simplify right side
    190,489.50x = 173,386,461,609
  5. Step 5: Solve for x
    x = 173,386,461,609/190,489.50
  6. Step 6: Final answer
    x = 910,215.32

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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.