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Finding the Third Proportional to 146,169 and 315,652.50

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Solution

The third proportional to 146,169 and 315,652.50 is: 681,652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,169 : 315,652.50 = 315,652.50 : x
  2. Step 2: Convert to fraction form
    146,169/315,652.50 = 315,652.50/x
  3. Step 3: Cross multiply
    146,169x = 315,652.50 × 315,652.50
  4. Step 4: Simplify right side
    146,169x = 99,636,500,756.25
  5. Step 5: Solve for x
    x = 99,636,500,756.25/146,169
  6. Step 6: Final answer
    x = 681,652.75

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Why These Related Problems?

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