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Finding the Third Proportional to 142,533 and 301,158

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Solution

The third proportional to 142,533 and 301,158 is: 636,316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,533 : 301,158 = 301,158 : x
  2. Step 2: Convert to fraction form
    142,533/301,158 = 301,158/x
  3. Step 3: Cross multiply
    142,533x = 301,158 × 301,158
  4. Step 4: Simplify right side
    142,533x = 90,696,140,964
  5. Step 5: Solve for x
    x = 90,696,140,964/142,533
  6. Step 6: Final answer
    x = 636,316.79

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.