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Finding the Third Proportional to 159,205.50 and 346,518

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Solution

The third proportional to 159,205.50 and 346,518 is: 754,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,205.50 : 346,518 = 346,518 : x
  2. Step 2: Convert to fraction form
    159,205.50/346,518 = 346,518/x
  3. Step 3: Cross multiply
    159,205.50x = 346,518 × 346,518
  4. Step 4: Simplify right side
    159,205.50x = 120,074,724,324
  5. Step 5: Solve for x
    x = 120,074,724,324/159,205.50
  6. Step 6: Final answer
    x = 754,212.16

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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.