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Finding the Third Proportional to 179,622.94 and 249,751.31

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Solution

The third proportional to 179,622.94 and 249,751.31 is: 347,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,622.94 : 249,751.31 = 249,751.31 : x
  2. Step 2: Convert to fraction form
    179,622.94/249,751.31 = 249,751.31/x
  3. Step 3: Cross multiply
    179,622.94x = 249,751.31 × 249,751.31
  4. Step 4: Simplify right side
    179,622.94x = 62,375,718,095.47
  5. Step 5: Solve for x
    x = 62,375,718,095.47/179,622.94
  6. Step 6: Final answer
    x = 347,259.20

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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.