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Finding the Third Proportional to 142,155 and 305,731.97

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Solution

The third proportional to 142,155 and 305,731.97 is: 657,536.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,155 : 305,731.97 = 305,731.97 : x
  2. Step 2: Convert to fraction form
    142,155/305,731.97 = 305,731.97/x
  3. Step 3: Cross multiply
    142,155x = 305,731.97 × 305,731.97
  4. Step 4: Simplify right side
    142,155x = 93,472,036,715.75
  5. Step 5: Solve for x
    x = 93,472,036,715.75/142,155
  6. Step 6: Final answer
    x = 657,536.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.