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Finding the Third Proportional to 135,046.50 and 290,110.50

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Solution

The third proportional to 135,046.50 and 290,110.50 is: 623,223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,046.50 : 290,110.50 = 290,110.50 : x
  2. Step 2: Convert to fraction form
    135,046.50/290,110.50 = 290,110.50/x
  3. Step 3: Cross multiply
    135,046.50x = 290,110.50 × 290,110.50
  4. Step 4: Simplify right side
    135,046.50x = 84,164,102,210.25
  5. Step 5: Solve for x
    x = 84,164,102,210.25/135,046.50
  6. Step 6: Final answer
    x = 623,223.13

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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.