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Finding the Third Proportional to 179,638 and 249,769.50

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Solution

The third proportional to 179,638 and 249,769.50 is: 347,280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,638 : 249,769.50 = 249,769.50 : x
  2. Step 2: Convert to fraction form
    179,638/249,769.50 = 249,769.50/x
  3. Step 3: Cross multiply
    179,638x = 249,769.50 × 249,769.50
  4. Step 4: Simplify right side
    179,638x = 62,384,803,130.25
  5. Step 5: Solve for x
    x = 62,384,803,130.25/179,638
  6. Step 6: Final answer
    x = 347,280.66

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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.