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Finding the Third Proportional to 151,242 and 329,155.50

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Solution

The third proportional to 151,242 and 329,155.50 is: 716,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,242 : 329,155.50 = 329,155.50 : x
  2. Step 2: Convert to fraction form
    151,242/329,155.50 = 329,155.50/x
  3. Step 3: Cross multiply
    151,242x = 329,155.50 × 329,155.50
  4. Step 4: Simplify right side
    151,242x = 108,343,343,180.25
  5. Step 5: Solve for x
    x = 108,343,343,180.25/151,242
  6. Step 6: Final answer
    x = 716,357.51

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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.