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Finding the Third Proportional to 249,077 and 389,169.50

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Solution

The third proportional to 249,077 and 389,169.50 is: 608,056.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,077 : 389,169.50 = 389,169.50 : x
  2. Step 2: Convert to fraction form
    249,077/389,169.50 = 389,169.50/x
  3. Step 3: Cross multiply
    249,077x = 389,169.50 × 389,169.50
  4. Step 4: Simplify right side
    249,077x = 151,452,899,730.25
  5. Step 5: Solve for x
    x = 151,452,899,730.25/249,077
  6. Step 6: Final answer
    x = 608,056.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.