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Finding the Third Proportional to 163,721.25 and 351,364.50

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Solution

The third proportional to 163,721.25 and 351,364.50 is: 754,068.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,721.25 : 351,364.50 = 351,364.50 : x
  2. Step 2: Convert to fraction form
    163,721.25/351,364.50 = 351,364.50/x
  3. Step 3: Cross multiply
    163,721.25x = 351,364.50 × 351,364.50
  4. Step 4: Simplify right side
    163,721.25x = 123,457,011,860.25
  5. Step 5: Solve for x
    x = 123,457,011,860.25/163,721.25
  6. Step 6: Final answer
    x = 754,068.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.