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Finding the Third Proportional to 74,561.50 and 163,298

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Solution

The third proportional to 74,561.50 and 163,298 is: 357,640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,561.50 : 163,298 = 163,298 : x
  2. Step 2: Convert to fraction form
    74,561.50/163,298 = 163,298/x
  3. Step 3: Cross multiply
    74,561.50x = 163,298 × 163,298
  4. Step 4: Simplify right side
    74,561.50x = 26,666,236,804
  5. Step 5: Solve for x
    x = 26,666,236,804/74,561.50
  6. Step 6: Final answer
    x = 357,640.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.