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Finding the Third Proportional to 116,597.50 and 247,207

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Solution

The third proportional to 116,597.50 and 247,207 is: 524,121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,597.50 : 247,207 = 247,207 : x
  2. Step 2: Convert to fraction form
    116,597.50/247,207 = 247,207/x
  3. Step 3: Cross multiply
    116,597.50x = 247,207 × 247,207
  4. Step 4: Simplify right side
    116,597.50x = 61,111,300,849
  5. Step 5: Solve for x
    x = 61,111,300,849/116,597.50
  6. Step 6: Final answer
    x = 524,121.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.