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Finding the Third Proportional to 152,779.50 and 328,963

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Solution

The third proportional to 152,779.50 and 328,963 is: 708,319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,779.50 : 328,963 = 328,963 : x
  2. Step 2: Convert to fraction form
    152,779.50/328,963 = 328,963/x
  3. Step 3: Cross multiply
    152,779.50x = 328,963 × 328,963
  4. Step 4: Simplify right side
    152,779.50x = 108,216,655,369
  5. Step 5: Solve for x
    x = 108,216,655,369/152,779.50
  6. Step 6: Final answer
    x = 708,319.21

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