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Finding the Third Proportional to 153,532.50 and 330,159

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Solution

The third proportional to 153,532.50 and 330,159 is: 709,979.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,532.50 : 330,159 = 330,159 : x
  2. Step 2: Convert to fraction form
    153,532.50/330,159 = 330,159/x
  3. Step 3: Cross multiply
    153,532.50x = 330,159 × 330,159
  4. Step 4: Simplify right side
    153,532.50x = 109,004,965,281
  5. Step 5: Solve for x
    x = 109,004,965,281/153,532.50
  6. Step 6: Final answer
    x = 709,979.75

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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.