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Finding the Third Proportional to 133,356.38 and 290,678.63

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Solution

The third proportional to 133,356.38 and 290,678.63 is: 633,595.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,356.38 : 290,678.63 = 290,678.63 : x
  2. Step 2: Convert to fraction form
    133,356.38/290,678.63 = 290,678.63/x
  3. Step 3: Cross multiply
    133,356.38x = 290,678.63 × 290,678.63
  4. Step 4: Simplify right side
    133,356.38x = 84,494,063,031.89
  5. Step 5: Solve for x
    x = 84,494,063,031.89/133,356.38
  6. Step 6: Final answer
    x = 633,595.98

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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.