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Finding the Third Proportional to 141,780.38 and 306,834.75

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Solution

The third proportional to 141,780.38 and 306,834.75 is: 664,038.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,780.38 : 306,834.75 = 306,834.75 : x
  2. Step 2: Convert to fraction form
    141,780.38/306,834.75 = 306,834.75/x
  3. Step 3: Cross multiply
    141,780.38x = 306,834.75 × 306,834.75
  4. Step 4: Simplify right side
    141,780.38x = 94,147,563,807.56
  5. Step 5: Solve for x
    x = 94,147,563,807.56/141,780.38
  6. Step 6: Final answer
    x = 664,038.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.