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Finding the Third Proportional to 179,633.50 and 249,764

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Solution

The third proportional to 179,633.50 and 249,764 is: 347,274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,633.50 : 249,764 = 249,764 : x
  2. Step 2: Convert to fraction form
    179,633.50/249,764 = 249,764/x
  3. Step 3: Cross multiply
    179,633.50x = 249,764 × 249,764
  4. Step 4: Simplify right side
    179,633.50x = 62,382,055,696
  5. Step 5: Solve for x
    x = 62,382,055,696/179,633.50
  6. Step 6: Final answer
    x = 347,274.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.