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Finding the Third Proportional to 162,389.25 and 255,095.63

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Solution

The third proportional to 162,389.25 and 255,095.63 is: 400,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,389.25 : 255,095.63 = 255,095.63 : x
  2. Step 2: Convert to fraction form
    162,389.25/255,095.63 = 255,095.63/x
  3. Step 3: Cross multiply
    162,389.25x = 255,095.63 × 255,095.63
  4. Step 4: Simplify right side
    162,389.25x = 65,073,777,894.14
  5. Step 5: Solve for x
    x = 65,073,777,894.14/162,389.25
  6. Step 6: Final answer
    x = 400,727.13

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