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Finding the Third Proportional to 163,524 and 352,854

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Solution

The third proportional to 163,524 and 352,854 is: 761,392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,524 : 352,854 = 352,854 : x
  2. Step 2: Convert to fraction form
    163,524/352,854 = 352,854/x
  3. Step 3: Cross multiply
    163,524x = 352,854 × 352,854
  4. Step 4: Simplify right side
    163,524x = 124,505,945,316
  5. Step 5: Solve for x
    x = 124,505,945,316/163,524
  6. Step 6: Final answer
    x = 761,392.49

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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.