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Finding the Third Proportional to 162,385.50 and 255,090.38

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Solution

The third proportional to 162,385.50 and 255,090.38 is: 400,719.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,385.50 : 255,090.38 = 255,090.38 : x
  2. Step 2: Convert to fraction form
    162,385.50/255,090.38 = 255,090.38/x
  3. Step 3: Cross multiply
    162,385.50x = 255,090.38 × 255,090.38
  4. Step 4: Simplify right side
    162,385.50x = 65,071,099,417.64
  5. Step 5: Solve for x
    x = 65,071,099,417.64/162,385.50
  6. Step 6: Final answer
    x = 400,719.89

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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.