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Finding the Third Proportional to 166,004 and 249,169

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Solution

The third proportional to 166,004 and 249,169 is: 373,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,004 : 249,169 = 249,169 : x
  2. Step 2: Convert to fraction form
    166,004/249,169 = 249,169/x
  3. Step 3: Cross multiply
    166,004x = 249,169 × 249,169
  4. Step 4: Simplify right side
    166,004x = 62,085,190,561
  5. Step 5: Solve for x
    x = 62,085,190,561/166,004
  6. Step 6: Final answer
    x = 373,998.16

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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.