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Finding the Third Proportional to 155,963 and 328,223.50

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Solution

The third proportional to 155,963 and 328,223.50 is: 690,745.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,963 : 328,223.50 = 328,223.50 : x
  2. Step 2: Convert to fraction form
    155,963/328,223.50 = 328,223.50/x
  3. Step 3: Cross multiply
    155,963x = 328,223.50 × 328,223.50
  4. Step 4: Simplify right side
    155,963x = 107,730,665,952.25
  5. Step 5: Solve for x
    x = 107,730,665,952.25/155,963
  6. Step 6: Final answer
    x = 690,745.02

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.