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Finding the Third Proportional to 164,586 and 249,187

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Solution

The third proportional to 164,586 and 249,187 is: 377,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,586 : 249,187 = 249,187 : x
  2. Step 2: Convert to fraction form
    164,586/249,187 = 249,187/x
  3. Step 3: Cross multiply
    164,586x = 249,187 × 249,187
  4. Step 4: Simplify right side
    164,586x = 62,094,160,969
  5. Step 5: Solve for x
    x = 62,094,160,969/164,586
  6. Step 6: Final answer
    x = 377,274.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.