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Finding the Third Proportional to 159,088.50 and 346,267

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Solution

The third proportional to 159,088.50 and 346,267 is: 753,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,088.50 : 346,267 = 346,267 : x
  2. Step 2: Convert to fraction form
    159,088.50/346,267 = 346,267/x
  3. Step 3: Cross multiply
    159,088.50x = 346,267 × 346,267
  4. Step 4: Simplify right side
    159,088.50x = 119,900,835,289
  5. Step 5: Solve for x
    x = 119,900,835,289/159,088.50
  6. Step 6: Final answer
    x = 753,673.81

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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.