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Finding the Third Proportional to 127,473 and 202,458

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Solution

The third proportional to 127,473 and 202,458 is: 321,552.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,473 : 202,458 = 202,458 : x
  2. Step 2: Convert to fraction form
    127,473/202,458 = 202,458/x
  3. Step 3: Cross multiply
    127,473x = 202,458 × 202,458
  4. Step 4: Simplify right side
    127,473x = 40,989,241,764
  5. Step 5: Solve for x
    x = 40,989,241,764/127,473
  6. Step 6: Final answer
    x = 321,552.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.