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Finding the Third Proportional to 186,959 and 262,335

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Solution

The third proportional to 186,959 and 262,335 is: 368,100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,959 : 262,335 = 262,335 : x
  2. Step 2: Convert to fraction form
    186,959/262,335 = 262,335/x
  3. Step 3: Cross multiply
    186,959x = 262,335 × 262,335
  4. Step 4: Simplify right side
    186,959x = 68,819,652,225
  5. Step 5: Solve for x
    x = 68,819,652,225/186,959
  6. Step 6: Final answer
    x = 368,100.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.