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Finding the Third Proportional to 164,707.50 and 359,531.25

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Solution

The third proportional to 164,707.50 and 359,531.25 is: 784,801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,707.50 : 359,531.25 = 359,531.25 : x
  2. Step 2: Convert to fraction form
    164,707.50/359,531.25 = 359,531.25/x
  3. Step 3: Cross multiply
    164,707.50x = 359,531.25 × 359,531.25
  4. Step 4: Simplify right side
    164,707.50x = 129,262,719,726.56
  5. Step 5: Solve for x
    x = 129,262,719,726.56/164,707.50
  6. Step 6: Final answer
    x = 784,801.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.