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Finding the Third Proportional to 181,359 and 346,716

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Solution

The third proportional to 181,359 and 346,716 is: 662,839.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,359 : 346,716 = 346,716 : x
  2. Step 2: Convert to fraction form
    181,359/346,716 = 346,716/x
  3. Step 3: Cross multiply
    181,359x = 346,716 × 346,716
  4. Step 4: Simplify right side
    181,359x = 120,211,984,656
  5. Step 5: Solve for x
    x = 120,211,984,656/181,359
  6. Step 6: Final answer
    x = 662,839.92

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.