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Finding the Third Proportional to 242,732.50 and 528,071

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Solution

The third proportional to 242,732.50 and 528,071 is: 1,148,832.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,732.50 : 528,071 = 528,071 : x
  2. Step 2: Convert to fraction form
    242,732.50/528,071 = 528,071/x
  3. Step 3: Cross multiply
    242,732.50x = 528,071 × 528,071
  4. Step 4: Simplify right side
    242,732.50x = 278,858,981,041
  5. Step 5: Solve for x
    x = 278,858,981,041/242,732.50
  6. Step 6: Final answer
    x = 1,148,832.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.