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Finding the Third Proportional to 162,254.25 and 242,034.75

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Solution

The third proportional to 162,254.25 and 242,034.75 is: 361,043.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,254.25 : 242,034.75 = 242,034.75 : x
  2. Step 2: Convert to fraction form
    162,254.25/242,034.75 = 242,034.75/x
  3. Step 3: Cross multiply
    162,254.25x = 242,034.75 × 242,034.75
  4. Step 4: Simplify right side
    162,254.25x = 58,580,820,207.56
  5. Step 5: Solve for x
    x = 58,580,820,207.56/162,254.25
  6. Step 6: Final answer
    x = 361,043.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.