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Finding the Third Proportional to 153,776.25 and 332,817.75

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Solution

The third proportional to 153,776.25 and 332,817.75 is: 720,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,776.25 : 332,817.75 = 332,817.75 : x
  2. Step 2: Convert to fraction form
    153,776.25/332,817.75 = 332,817.75/x
  3. Step 3: Cross multiply
    153,776.25x = 332,817.75 × 332,817.75
  4. Step 4: Simplify right side
    153,776.25x = 110,767,654,715.06
  5. Step 5: Solve for x
    x = 110,767,654,715.06/153,776.25
  6. Step 6: Final answer
    x = 720,317.05

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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.