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Finding the Third Proportional to 148,177.27 and 211,742.16

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Solution

The third proportional to 148,177.27 and 211,742.16 is: 302,575.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,177.27 : 211,742.16 = 211,742.16 : x
  2. Step 2: Convert to fraction form
    148,177.27/211,742.16 = 211,742.16/x
  3. Step 3: Cross multiply
    148,177.27x = 211,742.16 × 211,742.16
  4. Step 4: Simplify right side
    148,177.27x = 44,834,740,733.40
  5. Step 5: Solve for x
    x = 44,834,740,733.40/148,177.27
  6. Step 6: Final answer
    x = 302,575.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.