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Finding the Third Proportional to 235,708.50 and 508,767

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Solution

The third proportional to 235,708.50 and 508,767 is: 1,098,152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,708.50 : 508,767 = 508,767 : x
  2. Step 2: Convert to fraction form
    235,708.50/508,767 = 508,767/x
  3. Step 3: Cross multiply
    235,708.50x = 508,767 × 508,767
  4. Step 4: Simplify right side
    235,708.50x = 258,843,860,289
  5. Step 5: Solve for x
    x = 258,843,860,289/235,708.50
  6. Step 6: Final answer
    x = 1,098,152.42

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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.