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Finding the Third Proportional to 74,373.75 and 163,570.50

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Solution

The third proportional to 74,373.75 and 163,570.50 is: 359,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,373.75 : 163,570.50 = 163,570.50 : x
  2. Step 2: Convert to fraction form
    74,373.75/163,570.50 = 163,570.50/x
  3. Step 3: Cross multiply
    74,373.75x = 163,570.50 × 163,570.50
  4. Step 4: Simplify right side
    74,373.75x = 26,755,308,470.25
  5. Step 5: Solve for x
    x = 26,755,308,470.25/74,373.75
  6. Step 6: Final answer
    x = 359,741.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.