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Finding the Third Proportional to 166,120 and 249,128

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Solution

The third proportional to 166,120 and 249,128 is: 373,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,120 : 249,128 = 249,128 : x
  2. Step 2: Convert to fraction form
    166,120/249,128 = 249,128/x
  3. Step 3: Cross multiply
    166,120x = 249,128 × 249,128
  4. Step 4: Simplify right side
    166,120x = 62,064,760,384
  5. Step 5: Solve for x
    x = 62,064,760,384/166,120
  6. Step 6: Final answer
    x = 373,614.02

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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.