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Finding the Third Proportional to 153,382.50 and 328,089

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Solution

The third proportional to 153,382.50 and 328,089 is: 701,790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,382.50 : 328,089 = 328,089 : x
  2. Step 2: Convert to fraction form
    153,382.50/328,089 = 328,089/x
  3. Step 3: Cross multiply
    153,382.50x = 328,089 × 328,089
  4. Step 4: Simplify right side
    153,382.50x = 107,642,391,921
  5. Step 5: Solve for x
    x = 107,642,391,921/153,382.50
  6. Step 6: Final answer
    x = 701,790.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.