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Finding the Third Proportional to 175,155 and 364,289

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Solution

The third proportional to 175,155 and 364,289 is: 757,651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,155 : 364,289 = 364,289 : x
  2. Step 2: Convert to fraction form
    175,155/364,289 = 364,289/x
  3. Step 3: Cross multiply
    175,155x = 364,289 × 364,289
  4. Step 4: Simplify right side
    175,155x = 132,706,475,521
  5. Step 5: Solve for x
    x = 132,706,475,521/175,155
  6. Step 6: Final answer
    x = 757,651.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.