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Finding the Third Proportional to 145,962 and 315,913.50

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Solution

The third proportional to 145,962 and 315,913.50 is: 683,748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,962 : 315,913.50 = 315,913.50 : x
  2. Step 2: Convert to fraction form
    145,962/315,913.50 = 315,913.50/x
  3. Step 3: Cross multiply
    145,962x = 315,913.50 × 315,913.50
  4. Step 4: Simplify right side
    145,962x = 99,801,339,482.25
  5. Step 5: Solve for x
    x = 99,801,339,482.25/145,962
  6. Step 6: Final answer
    x = 683,748.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.