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Finding the Third Proportional to 211,340.23 and 430,061.59

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Solution

The third proportional to 211,340.23 and 430,061.59 is: 875,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,340.23 : 430,061.59 = 430,061.59 : x
  2. Step 2: Convert to fraction form
    211,340.23/430,061.59 = 430,061.59/x
  3. Step 3: Cross multiply
    211,340.23x = 430,061.59 × 430,061.59
  4. Step 4: Simplify right side
    211,340.23x = 184,952,971,058.93
  5. Step 5: Solve for x
    x = 184,952,971,058.93/211,340.23
  6. Step 6: Final answer
    x = 875,143.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.