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Finding the Third Proportional to 151,878.75 and 358,065

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Solution

The third proportional to 151,878.75 and 358,065 is: 844,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,878.75 : 358,065 = 358,065 : x
  2. Step 2: Convert to fraction form
    151,878.75/358,065 = 358,065/x
  3. Step 3: Cross multiply
    151,878.75x = 358,065 × 358,065
  4. Step 4: Simplify right side
    151,878.75x = 128,210,544,225
  5. Step 5: Solve for x
    x = 128,210,544,225/151,878.75
  6. Step 6: Final answer
    x = 844,163.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.