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Finding the Third Proportional to 162,595.13 and 255,399.19

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Solution

The third proportional to 162,595.13 and 255,399.19 is: 401,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,595.13 : 255,399.19 = 255,399.19 : x
  2. Step 2: Convert to fraction form
    162,595.13/255,399.19 = 255,399.19/x
  3. Step 3: Cross multiply
    162,595.13x = 255,399.19 × 255,399.19
  4. Step 4: Simplify right side
    162,595.13x = 65,228,744,975.66
  5. Step 5: Solve for x
    x = 65,228,744,975.66/162,595.13
  6. Step 6: Final answer
    x = 401,172.82

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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.