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Finding the Third Proportional to 179,633.25 and 249,762.94

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Solution

The third proportional to 179,633.25 and 249,762.94 is: 347,271.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,633.25 : 249,762.94 = 249,762.94 : x
  2. Step 2: Convert to fraction form
    179,633.25/249,762.94 = 249,762.94/x
  3. Step 3: Cross multiply
    179,633.25x = 249,762.94 × 249,762.94
  4. Step 4: Simplify right side
    179,633.25x = 62,381,524,948.63
  5. Step 5: Solve for x
    x = 62,381,524,948.63/179,633.25
  6. Step 6: Final answer
    x = 347,271.59

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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.