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Finding the Third Proportional to 190,172.25 and 292,334.63

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Solution

The third proportional to 190,172.25 and 292,334.63 is: 449,379.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,172.25 : 292,334.63 = 292,334.63 : x
  2. Step 2: Convert to fraction form
    190,172.25/292,334.63 = 292,334.63/x
  3. Step 3: Cross multiply
    190,172.25x = 292,334.63 × 292,334.63
  4. Step 4: Simplify right side
    190,172.25x = 85,459,532,973.89
  5. Step 5: Solve for x
    x = 85,459,532,973.89/190,172.25
  6. Step 6: Final answer
    x = 449,379.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.