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Finding the Third Proportional to 166,222.13 and 249,267.38

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Solution

The third proportional to 166,222.13 and 249,267.38 is: 373,802.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,222.13 : 249,267.38 = 249,267.38 : x
  2. Step 2: Convert to fraction form
    166,222.13/249,267.38 = 249,267.38/x
  3. Step 3: Cross multiply
    166,222.13x = 249,267.38 × 249,267.38
  4. Step 4: Simplify right side
    166,222.13x = 62,134,224,239.39
  5. Step 5: Solve for x
    x = 62,134,224,239.39/166,222.13
  6. Step 6: Final answer
    x = 373,802.37

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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.