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Finding the Third Proportional to 194,711.63 and 420,562.69

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Solution

The third proportional to 194,711.63 and 420,562.69 is: 908,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,711.63 : 420,562.69 = 420,562.69 : x
  2. Step 2: Convert to fraction form
    194,711.63/420,562.69 = 420,562.69/x
  3. Step 3: Cross multiply
    194,711.63x = 420,562.69 × 420,562.69
  4. Step 4: Simplify right side
    194,711.63x = 176,872,974,117.22
  5. Step 5: Solve for x
    x = 176,872,974,117.22/194,711.63
  6. Step 6: Final answer
    x = 908,384.25

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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.