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Finding the Third Proportional to 190,531.50 and 402,447

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Solution

The third proportional to 190,531.50 and 402,447 is: 850,062.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,531.50 : 402,447 = 402,447 : x
  2. Step 2: Convert to fraction form
    190,531.50/402,447 = 402,447/x
  3. Step 3: Cross multiply
    190,531.50x = 402,447 × 402,447
  4. Step 4: Simplify right side
    190,531.50x = 161,963,587,809
  5. Step 5: Solve for x
    x = 161,963,587,809/190,531.50
  6. Step 6: Final answer
    x = 850,062.00

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.