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Finding the Third Proportional to 163,458 and 344,664

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Solution

The third proportional to 163,458 and 344,664 is: 726,751.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,458 : 344,664 = 344,664 : x
  2. Step 2: Convert to fraction form
    163,458/344,664 = 344,664/x
  3. Step 3: Cross multiply
    163,458x = 344,664 × 344,664
  4. Step 4: Simplify right side
    163,458x = 118,793,272,896
  5. Step 5: Solve for x
    x = 118,793,272,896/163,458
  6. Step 6: Final answer
    x = 726,751.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.