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Finding the Third Proportional to 131,293.41 and 208,423.13

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Solution

The third proportional to 131,293.41 and 208,423.13 is: 330,863.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,293.41 : 208,423.13 = 208,423.13 : x
  2. Step 2: Convert to fraction form
    131,293.41/208,423.13 = 208,423.13/x
  3. Step 3: Cross multiply
    131,293.41x = 208,423.13 × 208,423.13
  4. Step 4: Simplify right side
    131,293.41x = 43,440,199,034.77
  5. Step 5: Solve for x
    x = 43,440,199,034.77/131,293.41
  6. Step 6: Final answer
    x = 330,863.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.