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Finding the Third Proportional to 162,389 and 255,095

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Solution

The third proportional to 162,389 and 255,095 is: 400,725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,389 : 255,095 = 255,095 : x
  2. Step 2: Convert to fraction form
    162,389/255,095 = 255,095/x
  3. Step 3: Cross multiply
    162,389x = 255,095 × 255,095
  4. Step 4: Simplify right side
    162,389x = 65,073,459,025
  5. Step 5: Solve for x
    x = 65,073,459,025/162,389
  6. Step 6: Final answer
    x = 400,725.78

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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.