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Finding the Third Proportional to 114,700.50 and 247,851

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Solution

The third proportional to 114,700.50 and 247,851 is: 535,569.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,700.50 : 247,851 = 247,851 : x
  2. Step 2: Convert to fraction form
    114,700.50/247,851 = 247,851/x
  3. Step 3: Cross multiply
    114,700.50x = 247,851 × 247,851
  4. Step 4: Simplify right side
    114,700.50x = 61,430,118,201
  5. Step 5: Solve for x
    x = 61,430,118,201/114,700.50
  6. Step 6: Final answer
    x = 535,569.75

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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.