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Finding the Third Proportional to 195,989.63 and 424,055.25

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Solution

The third proportional to 195,989.63 and 424,055.25 is: 917,512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,989.63 : 424,055.25 = 424,055.25 : x
  2. Step 2: Convert to fraction form
    195,989.63/424,055.25 = 424,055.25/x
  3. Step 3: Cross multiply
    195,989.63x = 424,055.25 × 424,055.25
  4. Step 4: Simplify right side
    195,989.63x = 179,822,855,052.56
  5. Step 5: Solve for x
    x = 179,822,855,052.56/195,989.63
  6. Step 6: Final answer
    x = 917,512.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.