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Finding the Third Proportional to 152,779.50 and 328,962

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Solution

The third proportional to 152,779.50 and 328,962 is: 708,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,779.50 : 328,962 = 328,962 : x
  2. Step 2: Convert to fraction form
    152,779.50/328,962 = 328,962/x
  3. Step 3: Cross multiply
    152,779.50x = 328,962 × 328,962
  4. Step 4: Simplify right side
    152,779.50x = 108,215,997,444
  5. Step 5: Solve for x
    x = 108,215,997,444/152,779.50
  6. Step 6: Final answer
    x = 708,314.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.