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Finding the Third Proportional to 206,421.19 and 341,632.69

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Solution

The third proportional to 206,421.19 and 341,632.69 is: 565,411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,421.19 : 341,632.69 = 341,632.69 : x
  2. Step 2: Convert to fraction form
    206,421.19/341,632.69 = 341,632.69/x
  3. Step 3: Cross multiply
    206,421.19x = 341,632.69 × 341,632.69
  4. Step 4: Simplify right side
    206,421.19x = 116,712,893,168.47
  5. Step 5: Solve for x
    x = 116,712,893,168.47/206,421.19
  6. Step 6: Final answer
    x = 565,411.40

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.