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Finding the Third Proportional to 162,362 and 254,762

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Solution

The third proportional to 162,362 and 254,762 is: 399,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,362 : 254,762 = 254,762 : x
  2. Step 2: Convert to fraction form
    162,362/254,762 = 254,762/x
  3. Step 3: Cross multiply
    162,362x = 254,762 × 254,762
  4. Step 4: Simplify right side
    162,362x = 64,903,676,644
  5. Step 5: Solve for x
    x = 64,903,676,644/162,362
  6. Step 6: Final answer
    x = 399,746.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.