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Finding the Third Proportional to 133,859.50 and 291,047

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Solution

The third proportional to 133,859.50 and 291,047 is: 632,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,859.50 : 291,047 = 291,047 : x
  2. Step 2: Convert to fraction form
    133,859.50/291,047 = 291,047/x
  3. Step 3: Cross multiply
    133,859.50x = 291,047 × 291,047
  4. Step 4: Simplify right side
    133,859.50x = 84,708,356,209
  5. Step 5: Solve for x
    x = 84,708,356,209/133,859.50
  6. Step 6: Final answer
    x = 632,815.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.