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Finding the Third Proportional to 144,256.50 and 315,081

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Solution

The third proportional to 144,256.50 and 315,081 is: 688,191.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,256.50 : 315,081 = 315,081 : x
  2. Step 2: Convert to fraction form
    144,256.50/315,081 = 315,081/x
  3. Step 3: Cross multiply
    144,256.50x = 315,081 × 315,081
  4. Step 4: Simplify right side
    144,256.50x = 99,276,036,561
  5. Step 5: Solve for x
    x = 99,276,036,561/144,256.50
  6. Step 6: Final answer
    x = 688,191.08

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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.