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Finding the Third Proportional to 114,000.50 and 174,979

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Solution

The third proportional to 114,000.50 and 174,979 is: 268,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,000.50 : 174,979 = 174,979 : x
  2. Step 2: Convert to fraction form
    114,000.50/174,979 = 174,979/x
  3. Step 3: Cross multiply
    114,000.50x = 174,979 × 174,979
  4. Step 4: Simplify right side
    114,000.50x = 30,617,650,441
  5. Step 5: Solve for x
    x = 30,617,650,441/114,000.50
  6. Step 6: Final answer
    x = 268,574.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.