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Finding the Third Proportional to 159,064.50 and 346,119

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Solution

The third proportional to 159,064.50 and 346,119 is: 753,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,064.50 : 346,119 = 346,119 : x
  2. Step 2: Convert to fraction form
    159,064.50/346,119 = 346,119/x
  3. Step 3: Cross multiply
    159,064.50x = 346,119 × 346,119
  4. Step 4: Simplify right side
    159,064.50x = 119,798,362,161
  5. Step 5: Solve for x
    x = 119,798,362,161/159,064.50
  6. Step 6: Final answer
    x = 753,143.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.