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Finding the Third Proportional to 166,117.50 and 249,125

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Solution

The third proportional to 166,117.50 and 249,125 is: 373,610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,117.50 : 249,125 = 249,125 : x
  2. Step 2: Convert to fraction form
    166,117.50/249,125 = 249,125/x
  3. Step 3: Cross multiply
    166,117.50x = 249,125 × 249,125
  4. Step 4: Simplify right side
    166,117.50x = 62,063,265,625
  5. Step 5: Solve for x
    x = 62,063,265,625/166,117.50
  6. Step 6: Final answer
    x = 373,610.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.