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Finding the Third Proportional to 141,502.50 and 214,074

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Solution

The third proportional to 141,502.50 and 214,074 is: 323,864.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,502.50 : 214,074 = 214,074 : x
  2. Step 2: Convert to fraction form
    141,502.50/214,074 = 214,074/x
  3. Step 3: Cross multiply
    141,502.50x = 214,074 × 214,074
  4. Step 4: Simplify right side
    141,502.50x = 45,827,677,476
  5. Step 5: Solve for x
    x = 45,827,677,476/141,502.50
  6. Step 6: Final answer
    x = 323,864.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.