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Finding the Third Proportional to 190,352.91 and 423,256.55

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Solution

The third proportional to 190,352.91 and 423,256.55 is: 941,126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,352.91 : 423,256.55 = 423,256.55 : x
  2. Step 2: Convert to fraction form
    190,352.91/423,256.55 = 423,256.55/x
  3. Step 3: Cross multiply
    190,352.91x = 423,256.55 × 423,256.55
  4. Step 4: Simplify right side
    190,352.91x = 179,146,104,472.55
  5. Step 5: Solve for x
    x = 179,146,104,472.55/190,352.91
  6. Step 6: Final answer
    x = 941,126.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.