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Finding the Third Proportional to 175,544 and 250,854

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Solution

The third proportional to 175,544 and 250,854 is: 358,472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,544 : 250,854 = 250,854 : x
  2. Step 2: Convert to fraction form
    175,544/250,854 = 250,854/x
  3. Step 3: Cross multiply
    175,544x = 250,854 × 250,854
  4. Step 4: Simplify right side
    175,544x = 62,927,729,316
  5. Step 5: Solve for x
    x = 62,927,729,316/175,544
  6. Step 6: Final answer
    x = 358,472.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.