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Finding the Third Proportional to 162,384.75 and 255,089.25

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Solution

The third proportional to 162,384.75 and 255,089.25 is: 400,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,384.75 : 255,089.25 = 255,089.25 : x
  2. Step 2: Convert to fraction form
    162,384.75/255,089.25 = 255,089.25/x
  3. Step 3: Cross multiply
    162,384.75x = 255,089.25 × 255,089.25
  4. Step 4: Simplify right side
    162,384.75x = 65,070,525,465.56
  5. Step 5: Solve for x
    x = 65,070,525,465.56/162,384.75
  6. Step 6: Final answer
    x = 400,718.20

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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.