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Finding the Third Proportional to 159,124.50 and 346,653

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Solution

The third proportional to 159,124.50 and 346,653 is: 755,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,124.50 : 346,653 = 346,653 : x
  2. Step 2: Convert to fraction form
    159,124.50/346,653 = 346,653/x
  3. Step 3: Cross multiply
    159,124.50x = 346,653 × 346,653
  4. Step 4: Simplify right side
    159,124.50x = 120,168,302,409
  5. Step 5: Solve for x
    x = 120,168,302,409/159,124.50
  6. Step 6: Final answer
    x = 755,184.16

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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.