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Finding the Third Proportional to 166,118.25 and 249,125.25

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Solution

The third proportional to 166,118.25 and 249,125.25 is: 373,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,118.25 : 249,125.25 = 249,125.25 : x
  2. Step 2: Convert to fraction form
    166,118.25/249,125.25 = 249,125.25/x
  3. Step 3: Cross multiply
    166,118.25x = 249,125.25 × 249,125.25
  4. Step 4: Simplify right side
    166,118.25x = 62,063,390,187.56
  5. Step 5: Solve for x
    x = 62,063,390,187.56/166,118.25
  6. Step 6: Final answer
    x = 373,609.70

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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.